{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c6f663f7",
   "metadata": {},
   "source": [
    "# week1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "f6a134ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "import math,copy\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "45e90c72",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train=np.array([1.0,2.0])\n",
    "y_train=np.array([300.0,500.0])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d88f6d8e",
   "metadata": {},
   "source": [
    "## 1.funtion cost"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "893acf44",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "10083f09",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Function to calculate the cost\n",
    "def compute_cost(x, y, w, b):\n",
    "   \n",
    "    m = x.shape[0] \n",
    "    cost = 0\n",
    "\n",
    "    for i in range(m):\n",
    "        f_wb = w * x[i] + b\n",
    "        cost = cost + (f_wb - y[i])**2\n",
    "    total_cost = 1 / (2 * m) * cost\n",
    "    return total_cost"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3734a813",
   "metadata": {},
   "source": [
    "## 2.梯度下降"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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OIVAIFAKFQCFQCBQChUAhUAiMQqCUkFEwVaJCoBAoBAqBQqAQKAQKgUKgEFgUAqWELArJKqcQKAQKgUKgECgECoFlI/Df//3fb3nLWw4//PBhzm9/+9tPecpTfvGLXwxfVUwhsNERKCVko/dg0V8IFAKFQCFQCBQCGxWBP/3pT/vuu++//vWvO9zhDsM2XOpSl9p5550f9ahHfe973xu+rZhCYEMjUErIhu6+Ir4QKAQKgUKgECgENioC9kAOOuigM57xjHe9611PdapTRTP+53/+R+SFLnShT37yk2KueMUr3uc+93nc4x5X+yEbtZuL7ikIlBIyBZiKLgQKgUKgECgECoFCYDUR+PCHP/zud7/7Hve4x1ZbbZX12BX5+9//fq5znesPf/hDRF7/+tc/73nPe8ghh9BPMlkFCoGNjsCpakBv9C4s+guBQqAQKAQKgUJgwyHAEWuvvfY65znP+V//9V+nO93pZtNPV3nmM5/55je/+ZKXvOTslPW2EFgnCCypYtROyDrpqSKjECgECoFCoBAoBOZEgLjzpS996f73v/8NbnCDq171qk996lOJ+HOWtcxsf/vb3172spe9613vWma+//jWt7718Y9//OpXv3qrgfzxj3/8zne+c/TRR7/vfe/7xz/+kWVe7nKX+/Of//yJT3wiY370ox/ts88+dVYkAanAhkOglJAN12VFcCFQCBQChUAhUAj8HwI0kEMPPfQWt7jFpS99acrA5S9/+ec+97lf+cpX/i/FqoWc07CbcdaznvV2t7vdciv5+te//s1vfvOCF7xgm/E0pzkNzWTbbbf98pe/fOpT/5+Qdrazne3c5z735z//eZ5akf7CF77wwx/+8Mc85jFxdKQtpMKFwIZA4P/G92LJZRg48sgjXelwiUtcwlkrf4XdQLdAywSmw05goirf5DzwwAMX2wSlvelNb1K4vysvWcNf/vKXn3zyyVnU0572NIXjNRkzDPzqV7/6z1N+AsO3FbPOEdjo3feXv/zlQQ96ECvdSSedtEmgXuAEXCz9q9qz0IY55OGP7FWta7GwbMLS5hsqY3JZyzjik/yydWNyZeIlAxayL3zhC69+9auXTLlJEgyZwJiVqyN1iGGXYOWPJ554Io+m7bff/sEPfvAZznAGcvy1rnWtTrhfeS3DEn72s5898IEPdGDDsfL2UMcw5cQY1++KP9OZztS+Rf93v/tdWo0maEi+Ov0pvx/84AfBGSL+4he/uJu13J31oQ99KFNWoBDYKAisihJiWu666663uc1t3vrWt8ZGob/Cd7vb3W5961svSqCx8YrdEOsf+chHPuEJT7juda+7bkH/61//+uhHP/rggw/+5z//uW6JLMIKgUKgECgEOgSe97znOTSMh3fxi3r89Kc/fbOb3YxfzaIKXIflrDaGdgZe+9rXEglcccsi6cfiecwxxxDQVxUNtsX99tvPCY273/3uc2ggaHM11pBC7ljf+MY3rnSlK132spcdvnVUvcvl7ixkuDvra1/72jB9xRQC6xmBxSshdPSnP/3pb3vb26gcNhN5NLL0+Cu82267Mfw/6UlP+s1vfrNyUMw3uo2Jd8ABB9iOZIpYeZldCdYexPvbxS/3USHzqR/2Xm0o+Qkst9JKXwgUApsBAsUENm0ndgLfwomxNOQNSAsvfDUKtIJb0W50oxuNL3y1MaTCffSjH73hDW9o62A8VStMCYRXvvKVRBqnUFywO19pZznLWYYZf/zjH5OXbIde4AIXGL6l7bQ+WpFAd/g95znPWaCzybDqiikEFo7A4pUQDo4f+MAHOEcyfmy99dZhHvBX+AUveMFOO+1EPzn22GMX1ZKJc3hRhVc5hUAhUAgUAoVAIbCeEXDLrQ0lp0HcabtmdJ5wwgkOo2+33XY+Jjh3pWiWt3O35i1iV4dCxS+rLdm9vVRW2ztDnYej1u1vf/vDDjvsgx/8YJulwoXAOkdg8UoIow495CIXucjZz372rvHuoeOyaQpxamxfmYG+y2MrI06PsCuYgcwMbZo2zPYg5T3veU+R/gqn/3R3FoURkaembVmzN0vg0srG4IoJTlwSXOEKV3jjG9+Yb9tA5/sbj2pH3n3ve195bfvuuOOObDCzqeXxiVvJpa7uHAjCkKcQRSlQsW3bh+7gKpIARHHY5prXvCZH2DEfMIqMQTYaOAC85CUv6awmS3ZEB0hgNXQajmRHHXXUC1/4QnT62a2yY653cEl+ev+7X362swl4FNliLowqtKEQnfIuOR667B41lg4s+6te9aruLSPTzW9+8zvd6U65Hac6Pt9xuGjigOl89LPAiWjk2zYQLYoRbgwMuwzBTig+4hGP0KHI9us6yL6f3Xl7iZ3RVEYbj9KnQ3B0dI6QrpyWqi7cDkV3y/BnaC9mycSzy7dGPvnJT27pyYwBY9uE+Tp65Cg1T7nam/5GmlHk+CY36yQmAyLBHhNz2myKcRsj5CY3uQmJBwhZwozAGHY0I3u86phAPOJ4v/zlL02TdlD9+te/7kprZ9zEsS29tswee9JE33H50HYIgBTjNZW66jIlHospGQkBLOje8573GGAoNPgzcojkkpMxatRrOlS3ahQ2Pmx4JJtvgGWjotVaIebGN76xUW3K59uYCO1C0C00UkZzdthhB3TK3nGz4JxKljJmTS5kWUsE2k7HVBPAjn/O7qYxQ30ME5h4JiR7RDPbeTQNw46NtFm6ti/5qGqWTcmucY1rOEexZPqFJEA/Y6uJY/uFAjB3mZQQzlQ/+clPsgQl2wbhiHWVq1ylWxyNc9MKc+6Uk8irHHqLC3x/97vfZWkVKATWOQKLV0JwAfOHR+PEhYEIgmU4y5G4YFL8OB/ykIf4EM8znvEMx7Df+c53uuPCTRdmYyZrA+c73/msZKmECN/0pjd1fgvH55dFtOWm5a14R1D4MimfRNWW9vOf/9x1FuS2hz70ode+9rV9l7Qtf3b49a9/vQLxArILT9CPfexj1hjUTsuFWlzbVqlDck6GoEpMJrb27LLLLgwbllLUvv3tb1d4ewdfpozAe9/7XuAcd9xxpCtFWY1cHI4A3LBL2T7aDbdRu80221j1rZqECYvNnnvuuffee//+97+PlHN0RFvFMOy0HCGJM5s+1bnwf8pTnnKXu9yFaOsUnZ/+8kiYEMjsDhTJgja7Z+i0dUaZmT0eMm8GLISGBMAB1RYuAaCcMQUFldij6nyJVo10JNUB5zOf+YwucLPKolwInJh0K8Ozn/1slapC7/MhdJYxVUfIGD9kESIFmVK3OuZkmgDBgAn6iS/Xu971PvWpT7m6MZspQDohbRPyrFgeFWURUhHQbnvb25pQ5qNytFFL24xdWGM1WcPhYzIyqu2///5mjXHSplyyfNMQ8iolkHUuiJ/73Ofoz/FWmfN19PhRauJTNQ3vxz72sQQFjhPGodnaNof5gJLGm9yJspxNLAJqyWTwx1UMVEXpPr2AaWhdJpgWiIxj2NG0EmbEGx70zG5QiclBJS8CTC6U07fN9D322MNQ7Mb2mLGXZLzjHe8gJbt3SGlMzkMzU6ZklgbjRz7yETPLUP/iF78ogBuYX+9///sz8o53vGMqz/KOnIw6UVfqUEZoTJjExkGoU86jNBWthJNo4L3vfW/zSGnWCyMk7NbRTBeN4EvtQgBbRx/jbRAQvIWyYcyYjNwBmEUki3EYk0XJEqtF+bGQZQldwJL6sIc9zCDkaGC9sIrpXIMzWEQmnthNY4b6SCaQFUXAEMIoiL+ve93r9ItmurIJiwMda+M0DOdbyLqqsT76sCMZ9AGvjHacn72vS7YajxivoUvud23uSsq3i0Krx3Dywqs4EGLF1LpOrf3+978vWWitw0qtaOamjiZ95VslM7n6tTwt31agENj0COAgi/05wGdh0LDrXOc62AFnTbLItCqwUWsVkeUNb3hDJrPLyVZtw4QEOS2j+Ni+8DfTHH744SFymcYRSYTCKQijmKPVIiIxceSp4oc//GHmnRjoqojHjlqXeSvfYvDb3/52YiEi3e1tJb7a1a5GCMg0QYZmKgGd4v2FA9qsNEwgYhg7aSZ+Ah5VoaKW8sxiGbaEZOFdgEiKbItfNhlJT3ziE9VlLZd4ZEd0gEQtw9ZFMgw6dnUiGRkUUI9//OPjmJBI3fSABzwAYcjLouKuQ1RlMvKWRRdQn/3sZyPZmL+BFRq++tWvZnoQAQoZiBGJ8pAAKHLGbSRjlKIWooo0HzF6Td/pQemzKIGJaLQJovuA3CIfrRbpHslITK+go5JujfzMbv3WamTkLIjqXvrSl2YaAW+lyd73CCgZgRbJwAhMaczKbGNbQoQtXWBp6fzpT39KA7SqteN2TPkmmulGuDf3s6IYJNkdgTyqZnd0h/CyRimEs1tNE7IvZHAbhQRVlmqY+8VgEJnJNJzAF8mCBhI8JSRidNOtbnUrcOXEjPju70h21OXy2I23jgmMHFSGOjUSCDT/HLckp5hxaIt6R469IElpJG8oDWnOmExJ+k8+TLuW16+NJDgaAMnrYkhIk72mzOFkpKjQkHVlsk0jnPjOCi6vzgpK5htg2Yo2EIw6p6FXMSQQ3y5b3UIAJe7HSEJbsjJrHI1XZMtMlCxGLW2lXTg73XB17Wy8zd7sOJXSum4aOdRHMoEOEAzWvG4J014EICP5Updl7oWsgyUewwGJFsQFY2KC1YiM5azjclmR4SfB85//fJwQMu7PzVcU8pB5LIXBkMHO9mTiRBr7GIxWxCeiSwpFXkFVFr8cTllmBgJnBseMifnY8vB8VYFCYA0QwAln/xa/E2Jr0jyx2BAZsVpGEbo+owhjCbFGm/Gm/Jmc9j1YXol9edYKR2O8JASwKnXbkZlxGDAzuawwNd3rXvc685nPHAnYRUxmEp7FDMtuczFiLWsDJPPe+c53xkSSWrxP+dif1mWa8QFbQ6xf6JTFXzZsVltSztCwJ4EqVMQaF1b8yKIhOB22jvFNrBeGvrTq8Ix+0R2Rxt4LzNVlfWJIW2BHJA0MPO3lHrihXiDUxjEhyXQTae8yl7lMuudZX8kr9pf8MhmBg+XVeNAKTDnLnx1ggbM/wK5//PHHZ0oCqJaKD/MVnFWnC2zN5Za6s4DMePwJDb902coS5ggQVozwRF6rOSUqh4YWpbnhzXCy8NjXyvIRcMtb3tIwoE5EpM6ynjGP5dgwm8IkHwZUHY1mpjL7J0CLXGAEshFLCm9viM6KBGQhlRIZWzrPf/7z25AheWfKkeXzPGGiZgVvr2phw7ONg35bOgqcr6OXNUo1mdk+utXMQhK7OG6jEASAjoMQg70mm8LRxkxmF4Url0gCAWRwJCNEP0YyjzibwRyPE/8ulx1NLGRG5JKDCuDGNnmd+pQe5LYvaN2GlkaF+Xzk2AtKiDImdTCrGbR5BSJLQPJhDiRAxg3glpH27kQmrxs5GY0ifKBlm0b47rvvHuMqqZpvgGX2MYHZC4HZ5PZVrKa9udU0J7aayCb1NHY9u2pTO/Y8Jcve1NGtB07XTSOH+kgm0JGn8PBKagnTI1icn0GIb3dZPM63kA3LEYMAs1iAtyqWNTHNakSaODiAGnPhaGvBNvUOHzPiF/JiZ1sC+oZlN1lHTCXjwZYgjzKGA2ns7RCWbMgbPClmiFeOLxtaCnNlbGuMcByRJSTYfIsYC64V0E9gmL5iCoFNjsDilRBNMv1e9KIXWQbY2g19zlE2al2WxXZIG0mhikBpRZEeX+7mFbMWeYUtYbxkf9rTnpaQTUTr7ur1IVJS0RBoK+KY1XSYkfya66i308ofZpwYc+UrX7m9CBwTSVlnmJ58jGyuO+CFDP4rDVXqiCOO8JmUaRlpXzwWrEzd+TlVg4tHBwfTBXZEkk0OTulHJAnbAHBUg/CX/gNEQ9KeURG50INBY8ptRq+MIuqllK1MHFlm/PXdXHC5BSE5MkEHK6c0BlYGWFSH77fl0IukgUlc4t6+miNswKRKENm7AWmx4Z7BJNwNyNZtT0YdHZPC0h7l6FmIIVXnijEktEi3EgEjQfzVOtvx9DE2yzY+wyQYs5VE2GUEu8Iz2cjytYLDgL6GfCqNCKN0aWnMnTk6ernswjZF6uqagMPgMwJGkYljINFGDCqtzgZGMiBT8wgBHg0Pbgw8Ni92sYu1yeQyStuYLrxcdtRlX/JxyUGlQw11jJRfR1uaoWiEeBuS0MixFyXQXrox2ZbchsHVXuyjI85znvPgP6mKS0x6awW4MZNRx4VyyFjTsk3li2kJmGOAtdnHhGcvBDiMwxuM2ZyF2tJmc/g25TBsADOZt/EKNzgN0ejNeNV108ihPpIJtLUL07UIuPiPQdW+Mv3xeds+3fCLNPMtZG35Gda6sOas5YEQtceBKKu/XxKTAcqJrqGx2w3DT4xG+974J49E7iE4D7L5rUVerIlpADNnQoo1PcvJAL2CHzi/7tmKVkxPtrbx1tusogKFwCZBYKtVqpUGz2DjZ3+QLYQXPh9QFiwTCcd8zWteQ9xhevGKHHDRi160IwOnZu93gKE18HRpZjzijIzrXI9sfTIVYwGd/C0vTj2jhBmvOnFkRsoxr5ZFBus+uxpY7BT54W683hmcLIedFtdWTaJi0bd6tbpTm2CVOqIDiqWKsR9TZp21QjPzs9DbxsFVQ/hGRmyJ2ENr11Sk0iI0geqCvbaSZduKYdgQCl2C1E6eJsUyRAE8fWqVJlcneYtxkQDi0TDRjDesaHYM8WskzRBAEg8Z21MkeJsJbckkNjsetE3aUSz5dCQLMJNzaDV8NuQ11K1zhOA2b6gfim0jM6yZfKiYqzs9Vo1WNetfpBxfPt3PeLPWag5xxIpIpiepEJgUNV9HL3eUDqe8kYYwogAvCDuHxAimR0bHTuPFNxDJdGLUkQzI66ZY9zUxep0+DctlwjgtMIYdTcs7LX7JQcVoKq+/4ZSV5diiMbAxZH5NlO2Mnz32Ipm5M/FEbBaSAfsSHWL5alpgzGTUcbpPJw5FsXZbe74BNo2wafEdf5uWLDReE5N3Is5mUuNCNORp6WfEWyi7GQpkncIrzEDNjF03jRzqI5lA1hKBGDaUCgOyezXjcb6FbGKBBjOJAiyd8XFi4mVF4gN2J+zzmOwuzunUb5N6TGlMb5Zs5gDqKCbMLkYzGWa0NPNC9MFKmpv1sUuAzxOcnvrUp7aKfZemfbRW2mc7xznO0UZWuBBYnwislhKSrSVfkpC4UPuZRVZEPrL+mtWx1ehvZwDOvKSf9DzJyBkBW5++oe4iprwCGG9iIcMI8MoZGTfQK2dCqHaveMUrnD7E2vwcTORyRjbtjGTZKLIjUXXa20y2wI7IMtsAUU/XW32JyPynOYT4SeCsqngGM0pCuCgYG23GDIe9Px+XDODs9A3WOEZWSggph1hMc+s8N1qTaldmCEZd5Go8GuouueIslAMenTqaKNxWFwZ4ogx3NeJgeJObWTGDiGiWZD9ad5trZJhA06myqmiXvfHlh2XazQSWT0oIcd9ApUEF8ivp6PGjdCgE06kyUlvotHaHMKUl8TF0u0ECGaJebupOLGHTsqMQkuL0wkTyMnLk2Mv0qxrocG7rysmoE9stlEijOzLxSgZYFrLyAN3bbVrMLvTYKI2PgFkwtHqMrGs4Q8HVqdDDopY11IdVdEygK9/iQi1suUSXYNrjHAvZxKIYVsBrW7IdABNTLjdSgRQG4oTbBXTccrNHepzZZiO1mWTCh1BR06Qd/dhe2NNWx55iD6SNqXAhsNkgsGB3LBsXDj6ydzoAMMSIaGKa0QowDswrEliqp21B2iTpHFeGZWaMQhg1uX0ze7s5xFlnZnW1uG+Ka2Ym2+gBLMwaxqmJTyrrmhUOSqTS9DodNpCNaoz4vqiOGBKQMUQHx1eI2qywpNJ99tkHc2f+4RJmwda0EEHaM6C6NX9zOLZSvcDFDK/88MWilnQ7QkSWpLALDPfougQLeSQK77rrrmBhcadbhpe87Q4ejF35BHrKiVcGOQMnoDTQChfJoEfrbs+8JnQRcE60K7B9pAF2pn3IpCeblMsq3/ptP9M+pKptSIYSErLjSjp6/CgddqsxkI742kLjmnGy3AUAKd4BoSsNUFlUi2GGtXrTsqPQJ/OgdgyA9m842o0fe9m0VQ10OLd15WSEvK5sXwm33bGSAdYVO/ejEYI53+9+91MC/sbfkrCO77EfjdxCGVYNHD3YxotpZ2j7KsPLGupgnM0EstgIWFzm0EDknWMh66r2qPmYoYBFsNupGCaeIyZcBMkznXVGUZ2H7YzCY0NeAkDR6GakXNQr+4RDLX1RhVc5hcBiEViwEmLoc3O010+QmkiodZ2txRLCK0BKMigzRp5LzizMeBwJSFQpB+SraQH70XalWS84fTEq8/YRVgU7UPhXTMu4QeOxRXZlcjzrPsWP8TvdZroWYXzEbiCAon1FY3SRsfMYAivpCOvWbJNwW2mEdavdc4s0MZqCZMDovrAuS7Dc0oblZwwbEmk41hJAeUxfLGli3SKHZfoIaBEpn8TfqStdMmb+LmaOR1KFc6VkdDfksps6Tk1rIr4rCg1dgcazK1/ta2mR7rYAa05uuxMIOObZPMkjN132aY96306UaZj7MJESDu3cWVb5KGECNCxtg/A/oTvF/UVKnq+jl8suhqOICAi0OKrEukEmIBemNWQiOJKRb4AAijYBoIZcq02wydlReKOxU3Ria0vkssZem3E1wmMmo5Gj13SiruxoaCfjfAOsK3CFj9Yvl1a5ydCBPYe2md6Ihpg2V5nZQ25GvYZ0N7VjhtogHfqnZTkjh/pIJpDFRkCLLNNapF3tK64HLmF32x5fqTZ+GB6/kA3zOlnhuKN4vGWaqECnMjYSN4SZm2OcqWh3rCeWJ47Ew6qD6w45wzClugIcbJBL3jDBAmOiXaAwBRZYbBVVCKweAgtWQgx90j9yuTBOnG/kJ1wjLrJgoQkfIW6ynfUlTKfLMm/gLBxRGJnas48oISu069PqQbkGJRPZidQOtLWCBUE5bYQTabC6Q9KBzk5LIa3aItBlPHRHdoQFQxXpFxHVkeSG4nJHCZOVewOZlDpPIbS1hjSaiSXNlYtWl7YE9yx5xay43PUbO7b8++4KKT980lozJHpoGt521dllQqflJ8xdYUo0wFqnPqvaQsZVKskmBetgthpJE7cTnQZxPpXa5miQxLw7Mpe26GiUx+HdLAr4PkfDHdmuYEa2AfKHt8rsTq7rVtpOplxW+fqRrR3m4FUIf4l2Ys7R0ctlFzZhUvLQBBwGn0GVqj3y87ZBijwm6nY2eeVLDl45VWzXxcwi4aGfNJ84CFBcwdXGdOFNzo748tFmDZI4QZvkYZL0WLoubrDcsZeFrEZgzGQ01E1nndgtGTo6LOJJ2BwDLPMuJIBTGV1UcZOrLRDTmHY0q002MYyJhcydbw1Lg9OsNzczsguMHOojmcCw8LAidYRpPsIwzIm+DPMtZF3VHi3uwNR2g2f4FvtyV42J4G8a4JxHZUyJS41lZyjxlS2zdZjdMsdCah/D7jSPbr/4ukuk1LNgx1WYU4d5M0YCe19URFYY3YcZ5qvVCMTSjLZSQlYD3ipzNRBYsBKCRLOa76O7IKxzPkRtelvj/QTMf4doKesuN7SQSEz0kcxdT1wXLPnRQrIXqzBjsBNd08wbQyywWtZcrBDrz7cUIeLX0NSdCdYmgCMQtTGIMQaYGSTZ24GSs2vd5afkLTyuPWbaFgJDR8BV7ehbaoZMuRxO6A+OtkswsiOINZx/nOhIA7lyXvziFy+JMAlSRgsGY3+a240KWhC+7Eh0rFUOtxgPHJNcp5YeF1EFl7NM1rZuyTDxFziuJTEwHJ9oRxS531CkMGtCVgcT+pIWce0LqiwhUhLu0YBmNeoFRNrBWLL2JRMw8IcNWCemKo4YJCFsmB0x5DDXPDhRQ8pvO506Gh5cpk8qMAhmgVOULpi4VKvCK6chSSHtZBn27HLLj10aXwzQxRQnLc3mzNfRI0dp1KJ39FFwFSAI4z9Gl6qjybzSjWc4Iy+6VTw1jNDgkC5snT/RZLdnGu2QSeu7SYRl5TDORrWBTc6OHILSWIPKCask1bhyRMoFxEQr2vhyx17bwIWHR05G+iGXTvjnVUITJ+N8A2xio8ISMVFOnZg+IlnKjS6qUbsjZ3QZSNkdkRKTIc4ylrc2jokly6jhycNdJvGsZz3L4DTrDdSJWUSa3WOG+kgm0NVCLTTMtNQ5zzRhGGYYOEXR4hIstMNwvoWsq9ojJYEubahP1MGMcF9MshVjtDO0SR+bG1YigKMcx7M0SJCQtlUAVvl2tOIQpg51dXua25hU4guAtPo2VxemtxgADj1aerziJR6WEZQs2d1dUUs+UrQsXqDQKL25ZPpKUAisBwQWfzDd6kvYNcfcLEGM6xpp2mOjWEPEUxuwUdI5n3g3zxIyTHIZWRd86IfVv8s+45GU7wZu95wSuP1ckEdSdxpMXT4k7JtobDO41YwSVu8Vfsekils5rKJRyEs//mVVipXT4nz9gP1buxjFNQpcZCYaRXfeui1Zep3CIES0Urs+clmH4/uYo/uppBzZEQAkrZJxfd83LvHg/Mbxg0+Xzau2xmGYdqqXDz74YNZZeS1OtALCNOEjv+eAMNc646RuQ9cuF/haz1RhMdBw/QhJJRMIDC33lrCoadGwrjYmbrZ1cB9rTo+gSEAhUR3hEjK8JlRn/0G99oh84o1+EtVRmIUJ/W73gp61jWcXkvjCcfxr65ojHCKCNjqwwVRmCjjs4ZHi6jCiyG6/RXq9yZPN6uuYYyyuWa/ebDvaLAiQzTsbaDNGCHu/weDIFjO5NvKrRIPR1a3uyypfdTAn9dJAOv1nZEdnuyIwcpRGYrPDmAmuQjwy0iixOlrVkYAgovt8ZVmTncZh0GVXDuZjNgEkkploekFfGB7GrQEpDcEXpJFg4t9Nzo5sWvpKN1uvbsUGUa5PY9ZzkuEqE17jxNPxY29iSxcVOXIyOlioL2zvYBr6lIBoMlKzjY1WuJ9vgE1sC3ETBzBUTCVjIDaNJ6ZsI7FK88jlkDGhkM2EwXzDQoeBxKnIENBNYZYFUjtuY5pgNa263paJ/5Nog4fHDPVocAYPb1N24ZFDfSQT6ArHwGMe4UvJHnWN2ef+jGChHYbYwnwLWVu1Dd4wxuHqNjfaVxkOvQiqsYdPuqAWUpnCWZHmhuPh9hPnMgOZcrjSYQ4CVF+XWOC6us+jIaG9PMCZq8KukZUSfigweC9LkNObjrbr/WDaLCM0Rkye7cOi2XoBZPa5A8QAbvD2ALG+LISKZdnyiBNuKvknialAITABASbA1fjRIhjhTLMU+/Bui4cJP6yOEkIViZT4LEXCXLLMD1O2MXHxS3vyUqUmefiDYSsYIsmSecC2jJYTnaPM7uutbZlduKuie4zEvHIdBSbB4Dhd9vaR3EwACmZn28eriWQQ+xyWzfOy3aNcmuB8NseksC35KyxmSbgkwH/jog8MFEslkeDjLZFjOkJ7iZVWEZBialAlNGtLi8BEoFSkL3gEqRoBsuvxUEFbGoRt2tBVcG1pglS55M1kAYu3lJCMnBGILQuKTVtIpm+r00EgYhrvkIGeSCMKPdI4hKO71Y6GdgRmmREYdl/ER0agZXo7eNE1CtRwirq8JAzbOAyNVpdMKRCfJKfHkora+Ah3I0QfkbOJ18OUXUxkDDICB+LdcGwvq/wYCSyINnm66jy2yE/s6IkDaclRGrls/hjhwQ2AMHGkoQEy8InledpsMhhozrZEECkNBkXlbufpsGliRrKjYV5Dy2zKCwa6UdQ9ZvbhoPKqm3GGlpkF9swlMGbsdSS12bvwxJQTaZ4Y2Q6JaZNRjTEGotd0sQmOKQ0nY1va+AHWtQjHo/Prd+XT8L2dOCyHC4EYG7DBKmNoBWMhmCoKzVGRCUU5sb0pksbbTfZIk1hZGVmylKY5BqRh2XKqieBnc8YM9TFMYOLKpWrzIlAyzDhBtMx2iGHHRgKfMQtZNifYYItkvooAZYCqQ+WgiohRo36U3kJsbkYaeyCul+xmhFesUUxmjvRQJyKlVsPcVkY8+uuVBExjNjcykpECDmpRLwuOnX/1eqtbLR/itdTCZ5sosywqgDab6lljFBtDol2dF1VdlVMIjEHA+J/9+98PjtavENhwCOD7uD/BawzloYX6OyZxpdnoCEyUETd6o4r+LRmBVEIEtmQc2rY7c0LKty9EuWrjM0zBsAdrHyBAC52BGuCMR6YhuNvNICRlTARCdrfXHapULDf0SfvSbUpnS8j97TKkKJH0Z7tPAqntyMWmY8/Ej845rLEtdo5w6MCsY8ydc2SvLIXAKiEwWwPxdvFnQkzy+hUCq4qA2WJXx6Iy+0R+0MA0helzBsP9V5WqKrwQKAQKgUJgbRBw3IKHs+2F2H4ZVko5cXuETQDHOezE2iLgvuWR/1gktjTYm3J0LXzG2hJ4MdlnpkiE16KinAm0W9V+E1N6h9o5NNrvcsNkZFcUt3CagA1GgXADi1ecQbh4+XGfG9bY1j5H2G0uCLZ9Sv+ZI3tlKQQ2FQKlhGwq5Kve+RFgncJz+bXPUEJo2BYef9m67IHwzF6sA+781FfOQqAQKAQKgWUiwPbkOBb3VHsg/PF4NPGGogNME+h5YTkm5FYr5+ioELxbndPwmAdIqDEOeOQikofFVUSF4O8ahyusI661cMrIQcTQSZJwp0rcNOCIuXP5kmX8Gge01K0bzj26tmGNq67qCoEVIlBKyAoBrOybAAFnWONI/bTlB00UlT322MPy41gh9YPJakbiTdCGqrIQKAQKgUJgNAIOHzq+b1vbvoRj1jYrXB/iyPu0AhzD8MoNH2R02ovlgL5hXbAQME45L0rTcAOnNUIyR1jd2eXuCuqKAyF2FeL8OoXEzQ1+6rKLMqzLpQLusUCb/ZBNoodondWQLuT8fa1xww6qmHWOQCkh67yDirw5EXC/qstnHCVkObNIzHcd2Zx1V7ZCoBAoBAqBhSLAq+pe97oXVcEX6N0M4ar62fdnOhDCn8q5c7fD7bvvvi5Ss5XhUIfbPjhK0UP22muvvLHdjWQuWKPY2B6xvxEXNlI87nvf+1JLnBtxn8o0EZ8HlMsGbLC4CWOhLV66MPd92RHyUSN7INPIW7qUSlEIbDoETkXR33S1V82FQCFQCBQChUAhUAhsegRcqecDZT5vsulJKQoKgc0CgSVVjNoJ2Sz6uRpRCBQChUAhUAgUAvMi4NCI7+q4enveAipfIVAILBuB2glZNmSVoRAoBAqBQqAQKAQ2GwRcb+WTl745M+Pb85tNY6shhcCaIbDkTkgpIWvWF1VRIVAIFAKFQCFQCBQChUAhsEUgsKQSUu5YW8Q4qEYWAoVAIVAIFAKFQCFQCBQC6weBUkLWT18UJYVAIVAIFAKFQCFQCBQChcAWgUApIVtEN1cjC4FCYPNDwHcJ3vKWtxx++OHDprmK1AWjv/jFL4avtvAYn4/wXYWTTz55iIOvWR9wwAF/+tOfhq8qphAoBAqBQmDhCJQSsnBIq8BCoBAoBFYdAbKyrx/43MEd7nCHYWWXutSldt5550c96lHf+973hm+32JhvfvObe++9N8Quc5nLDEG47im/xz72sfGdu2GCiikECoFCoBBYIAKlhCwQzCqqECgECoG1QMAeyEEHHeRTaz75nB8p+9vf/va4xz3u+te/PlEbET75fJ/73EdM7YdEl/zsZz97whOe4PNzkMlOoqTd/OY3f8hDHvKXv/xFpO/f3eAGN7CJFI+ZrAKFQCFQCBQCC0eglJCFQ1oFFgKFQCGwugh8+MMffve73+0L0FtttVXWZFfkr3/9q5gUoCkkvgN9yCGHLHlFSRayuQaobQceeOAFL3jBG93oRm0b/3HKDz5UOPE0utvc5jY/+clPPvjBD7bJKlwIFAKFQCGwcATqit6FQ1oFFgKFQCGwighwxNprr73Oec5zOttwutOdbnZNdJVnPvOZb37zmy95yUvOTrl5v/3a17620047Qez2t7/9ki19/vOff+yxx77qVa8C8pKJK0EhUAgUAoXARASWtH/VTshE3CqyECgECoF1isC3vvWtj3/841e/+tVTA8HofW3t61//+oc+9KGjjz66pftyl7vcn//850984hNt5BYYPu644+wRQSPbbm/kl7/85Wc/+1kn+53jz3iBa13rWkcdddQJJ5zQRla4ECgECoFCYLEIlBKyWDyrtEKgENhICBDfv/SlL93//vd3EuCqV73qU5/61DW7HIn/z8te9rJ3vetdy8WLsuHUB8+izMiJ6DSnOc073vGOW93qVj/96U8zXuBsZzvbuc997s9//vN///vfI56i8qxnPStdttrEm2uYl9qXv/xlOEAj23jqU59aX++3335OgPDJyniBc5zjHBe4wAVcltVGrk3YGZV3vvOdT3va03bccUeHVU466aS1qbdqKQQKgS0BgT/84Q9Pf/rTJzK373//++4yecUrXtHh8KMf/WifffZZpTtOSgnp0K7HQqAQ2FIQoIEceuiht7jFLS596UtTBi5/+cs/97nP/cpXvrIG7XdYnEvVWc961tvd7nbLrS7M9mc605najJSQH/zgB45cb7311m386U/5eZVax7bbbmsXZc8999xyDqxruxU0oEhwKCGUE8hc7WpXazU6CaQEr1epuWWu1Q5QfgzI7373u/ZnLnrRi17oQhda7Rqr/EKgENhCEGC9Covbda5znbbJ1gKXdlzjGtd4znOe42xh+0r4whe+8MMf/vDHPOYxn/zkJ7tXK38sJWTlGFYJhUAhsCEROPHEEx0S2H777R/84Aef4QxnIMfzw+nk0dVomGuaHvjABzo17m6r9mT5yLr4EQ1T/uY3v2E1t5ljwRi+Zf3KXLZN/vM//3O77bbbbbfdfvzjHw8Tb34xltVsfts6lj/7YNe85jXPfOYzt/ER5sb2z3/+cxi/qjH0H+X//ve/95dKSU1d1eqq8EKgENhCELCFvvvuu9/73vdm5sg7FbG4t771rUceeaRby4P5TETj4he/uBvh7ZPYSJ+YYO7IUkLmhq4yFgKFwAZGgJH7ta99LRnUVyN46fj58N8xxxyD265qq8IFyDHxu9/97nNoIGg7y1nOMqTwO9/5Dp8rRn2uRMO3KmL4z3grEP3HPVGsX2vmfpa1r31A84fSvH2wT3/603RO9j/655AqkblUD99OizGufvWrX/3xj3+clmDJeJs2hqVk1772tZdMXAkKgUKgEFgSAZYv17Xf6U53Yn5q2RouZy3Ydddd3djBhjWjHDYRzqsKccnHjGTLffV/y9Jyc1b6QqAQKAQ2LgL8XD/60Y/e8IY3tPuxZq0g+L7yla90rNyeuK98zFcv5zEZSbpt9vDx1ZZOnrYJwNZFs+qqI5e74ZdtjOrVlrNZhrWda5PtoFY3sNtA1r/CFa4QeLYN101wu8hFLmJ/rI0fE3bS/TznOY8byebeReGLxWvCyGyP0Y+putIUAoVAITBEwPnDAw44wG6wGwLns3xFmexWfly2Fmi6KiVk2F8VUwgUAps/Aj61wRBOAD3Xuc61Zq114ZLD6GxRvmg+d6VoZpTyLYsswZkHvlhXutKVvIrvXeQrH//m78vENZSnL3axiznI7hiiXZRMv1kGXCN25StfGQ7uEMsGOsFP1ofM2c9+9s5Zi4LnaNAm2YigunzqU59C5BqPzISlAoVAIbCZIeBuwJe//OW+gOSzUStpGn8tGyaHHXbYAj+jVErISnqk8hYChcCGRICx+W1vexvSueIMHXVWqUns6x/4wAdsPjByz/C+XbJ2CowPe9M68th0HAhxiFmjSM8qykIce5Dsxje+ccZkwJ7JNttsQxPzLZGM3CQB9KOBetaeiaRNEcc/8pGPQCyookU4HMmYN8edURBw1ly/ZwPjQIiOeMlLXoKAjBf46le/6vj+Va5ylTZybcL2Z1zkpS4jk81S89kd+WF3uuXaEFO1FAKFwEZHAOvAXd14Mdwnn6Np7F/K8eGp1qAzrZx2JZqWppSQachUfCFQCGyGCHCFcvzDkQz6gOa59IODLPF3DZrKvk6axMRX6GbDuch5EheV5A4GQz52755ZOxtWiHT5FU+Kddmri78mNtBmiGMk3NJ++9vfTkywqpFOfh988ME2HGxGOZnjeEZ7cIWm4ei8a2rtVwQZPpBCYXj7299uCRyzvLXEO3a58847v//9789bwuhm5zvf+WDlpGZrIKQG+KwKP2nLdlvC2oRdyfWNb3xDXdZ4O2aa7zCobjVQF+gCsTZtqVoKgUJgkyPA8oLD88j1Wzkxvt9qNVFgsKmVF1hKyMoxrBIKgUJgwyDApZWUGbvJ5HUCLnHWXVVr0IA4cHz+859/4ne4CcdOlr/gBS+wae7irPDJCaqOP/54BwrpTs6Rh0XcXsod73hH+x7hR0SXoGy85z3vcdFTaiDy2uUguO+9997T/ICdXiBqU8xS0J+GA9puvcyfYqeVFvG2JtwU7OeRLtRpSrQsVLXx1BXfMrdzxZPK7bo6jl6nKx//+Mdr+P3udz9bJVEyWJx14Wp1iUtc4r3vfa9I2z73ve99OaflLZMuR3ZY0/VorQYiJUVFFdS8Fskodg3+2siKvvjc5z73mte8hqb0ute9Dj1veMMbdPEaEFBVFAKFwOaEAGuOw29MPBNvNFluS5nAXMD485///GMf+9hy805Mv9XE2IosBAqBQmBzRYDwSjrXOocoqARr1syTTz7ZQQ6eVBN9sahGNgQI00cccQTyHvnIR77xjW8kQ7M50ZFSbwnJmFLhMyNPfOIT3a54t7vdbaK4TJZ9/etf77N3M9qoHAKuFYVZq7s5voOF0L9cP2BN6AoZPjoCARbxFIb2mxgOkYcO08aj9p73vCdvJRqFn1w+ea4Tf/jDH9IuXv3qV0PpGc94hle+90KCp+QoJ3dX4AANGov12H7UkBgxVJRjjz3W5wsnXto7McsCI6ERN89QvRwkvexlL6vwHXbYwTdDfMHQkffb3va2E/t6gTRUUYVAIbA5IRAsxeLiaNxC2hXKjPWF4ay772SO8ksJmQO0ylIIFAIbGAHiflyBupYHQuAVH+WwEkxcDEJV4CfGMH+f+9yHCO77iTyIOCDxFrvpTW/aIU5KdgUTydsGiMOC3VsfNKSB+AD8bJ8ilPiOuLzdd9a70jzaQVquB9SwkGGMwxhf/OIXxXd94RzIUUcdNYynv9m9sQoGhrF5Ai7H7h/0oAfx1Npll124LSmT8jbUvqS31/TSl77UtsnwbgCbD3Yb7I1QzIakrkFMosEPzbVdUaOmcRsTjv2fla/6a9CQqqIQKATWAwK2UmN/mEVm2n74cukMdsR0ZVt+5eyo3LGWi3+lLwQKgY2NgO0IO9QEzete97qLbQmTPH8hnwJ0ogCP7gpv74ftXrWPpE/ZxThA8qQnPekGN7iBzZM2QYYtAD6zONRAJCBhs/rP1kCyHAF+TXNfKduWs9xwuKh1fYESPlS6qYtXuA0Zsnh3ZNzmAB82R8mVZgPEHoJNmKEGErS5q9duyVAD8Za7l1vwx2sgEFZ194s7AJ71rGdZ8rtXDnjM/jpkoGGjRiHyBsFcyxyeESZGxP5PxNffQqAQKARmI4CXBveYnWyOtywmCym5dkLmAL+yFAKFwAZGgOsRz3vHKnwIYrHNUCCFgRDMNm/7e77CSZ/kaa4473vf+1jEFZXy6HwFrudcNh8oGze72c1sASWd/AfsaXi0/dIdFJHY4tcpIVJyxHJihc+Sk+4uo3TaJ0tbvYDvQjoy3pVvn815HmQPj4HSLmZrESeeeGKg0Y5MHmVOq6tFmRP30DoC6rEQKAQKgY2CQCkhG6Wnis5CoBBYAAIsQ3Hme+utt45t5QUU2hQRUjWb+nDveyiVNvn+LegbEeRvTre2Mobf9/i3pAt6mLZvsKDiJxfDpTh9sThZRSJb/BzJ4lpePlp5GCbeurcKthN3eOweOOlhM8rZkrVR2x5yyq9rGz86lLhIwD7JbJWjy8hxwul/kVqdaHgEhXhNiz2WLlc9FgKFQCEwDQHLx0RuOS39+HhLxsTDjeNLiJTljrVcxCp9IVAIbGAEGKrzOwzT/Fk5wDhTkTeikg55K41xpgqp2qlip6WHGDGciyQlL7mLrS72fokdbPBl92FRi4pJVx+nLGZLzGRrkv2yftzJZtPJY82WlDRXv/rV08ZvN4PMHWey3RLWUiW9w/FutULGsGSH1AFr30CauENsmGY9x7iTd4iGDvJVTY1yJN0tw+uZ/qKtECgE1hsCWKWPsaLKFitf1oWQF0uh1XMhBrLaCVlIp1QhhUAhsDEQiO8wcIxhUB9S7AN2Ti2/4x3vIBa/+MUvjiuSHDNw6JmTz/3vf38qBP8o/Pe1r31tHOluCwmp2j6GEtys6pVceaLD50FsvxArfdCjzdWFJfAVc3am613veq7JYvtvXZW6xCt8pF+hGRoh9M8ozXozdD2akd6rJe1kwCR2O4ORH05h9Xe1rg93OJuBJJeDZRWOxTupbzcgE+crAQdFDjroIPsPzuTQ3FyN3/lxtYnXZ9jY44emL3zcPSk84YQTaGVGghvSlsQzc1WgECgECoFAIHxTaSCLOvVnyVAyPlxKSI2xQqAQKASWhwCpl5uTQwikvWFOH9xgaHeq+M53vnMYkGJzg0BMf2BVctKDROgDHTYohkpISNW2UIjRFAmfmSNM+7KeYtXlenW6jY8kMkq1Tv8dGe5fJ0M7WEKepoS4JMonQahDKLEtkDsGXa75Hu232EBwL/BEyb4t00oWn3dsI1cY1kw2fhtH4XMFUtd5PexhD+PJBiLxKXbTQI455hgqSpwF7+qltr3yla+kI+k7/Qux4447jhIiF6Md6PKW3i7junoMRz63GqTbns+YPPnJT7a944a0JbXEddWWIqYQKATWCQJ2UK13vmxrP9/HplZIVVwNYvW0Drbb1HMXW+5Yc0NXGQuBQmCDIcAUFJemd273bTO++tWvesxDHezTzpDwyI/7lEi0LqRyrdbEc+ef+cxn5H30ox+9/fbbs9kTKO1j0HmifCZ/N+0yI8WBh7ZSCoZkhGm1P+95z3vEIx5BLpdYlsMOO4wrFGH9hS98oa9htLlWHrYy8X3aZptt2kMIKy92ZAl51aNLJIngPqpIebNx5AIrbXeNsgtzIWOX4znPeQ4lhAYSe1NRPiRdNqVPbZ5Q/3xe0PaRy8S8fdOb3kSl0df2o/71r3+NpGcTJrM55mosBNgGCe2XhkYf81dbcjNtE1JYVRcChcBGRABXxOHZs+J+i2lNwDAtdt7yC51xG7s1yPasFbDdsJ1W5pj4UkLGoFRpCoFCYHNAgOE/TkLTECZuKTDzODFC5YidAbz4yCOPJA27jqnVOuxjdAemoUNPUDjthQAdZycYirr7Xqkl7mn1Obz2WAifKJ9CV6MP8zHnE6bjGxE2KKRX7O67765M4vVijxgS31HCoOWS3+Ex+jXobxeU+SygjqB+wPlFL3qR9oKOEuJjHTvttJMPCzqg755i/WWTpNVAiOw77rgjoOiTHLH22WcfbwGuLXYSaCzbbbfdvvvuq5BN0rTlonfa05726U9/OpWVBEDl0N499tjjlre8pW0xCMBkuQVW+kKgECgEIIAr3uUud7GoOV02Ubtg+dp///19BzasYxgRhhxH0YYASkMJcYn8wq51QVP9CoFCoBDYEhBgbrePTKqzAzCxvaxBdq59IpCTkgTs63QGjNgZj0zP2+cNb3gD+3rGRMD9qjyISMM0GTGcspwhIeI7496m5J2FffMXykhFiaTk8PgSYBTPVz7g7UPmfkcfffSwxkw2XwDBnKw4MrU1zlfU2ufiZwVqXUMVofslAdrill5gut2YYS/j1yygZ1HFDc++1ppVWhUVAoVAITANAbyImmF5wvOnpRkTz3bmcNoDHvAAnl1j0luzlvz9x5iCKk0hUAgUApsBAjydCIi+mY0zTmwOCdLehS+R49rE2Wc/+9kUhpZ3UzD222+/iTqMY9MKJ9NHycxLjE++mhc6SVZHet5zzz3vcY97/Pa3v83ItQ+gitPX+OVk7SmsGguBQqAQKAQWggCn1jvc4Q5chVdicjr88MPdWMiWN5KkJTUQCcodi9hQv0KgENg8EcArHSJnLMc3HSFwxsDOhr3paf4tNAfuT5x8bGE7icEj381UHvPIBPcYp8z5C8FL4RJjoxHmx+X0cHjK0mFcauQUIGUjT1cHxLyGnDbmgsU0JdkmwR3NYEG8b4e3bmabhJiqtBAoBAqBQmBVEXAyhE3NouayRyvXHHVZHOU98MAD+QnPkX1allJCpiFT8YVAIbDhEbDb4GgyXyZ7F4ceeuhJJ53kEIJbqqY1LE5+u3kQwyWm88unb9g0oLQQ3I844giaBndYKooDFc5JUzMc4XCu2udHHB2J8+tY/LtP+anLLsqwLuuBi4DR5tajtddDNOSQQw5xixTf3/Oe97xD8iqmECgECoFCYDNDwIWBbrlw+s6GxnL1EAuic3rMZw49TjPhzQfXaSyT8+WsXIVAIVAIrHMEqBPOPX/hC19wbxW267TAbCuOQ8xSOvUho7uJfKdCdgdCfO7DGW4axS677BKXoyvNUQRnNtxq5S4sKQn0xx9/vOzus3KkxCaDnetp/NqXRrbddlunq93vtMa3r/qWn2ZyxFr5dY3rvPeLvEKgECgECoFEwAdzrVbWMreWX+hCF8r42QGH69zP7sZ5n8CatqLNLmHG21MtVx+aUVa9KgQKgUJgi0LAQT23NvmU4ep9T3CLwrMaWwgUAoVAIbB5IDBGvyh3rM2jr6sVhUAhsNYI4LCugnXBVPth77UmouorBAqBQqAQKAQ2JgK1E7Ix+62oLgQKgU2NgBvTuV258HdDfJB7U6NV9RcChUAhUAhsQQiM2QkpJWQLGhDV1EKgECgECoFCoBAoBAqBQmC1ERijhJQ71mr3QpVfCBQChUAhUAgUAoVAIVAIFAL/hkApIf8GRz0UAoVAIVAIFAKFQCFQCBQChcBqI1BKyGojXOUXAoVAIVAIFAKFQCFQCBQChcC/IVBKyL/BUQ+FQCFQCBQChUAhUAgUAoVAIbDaCGy12hVU+YVAIVAIFAKFQCFQCGwsBHxL1HdOfSva39/+9rcvfelLfXN6YzWhqC0E1jkCtROyzjuoyCsECoFCoBAoBAqBtUbgAhe4wC1ucYvvfve7hx9++EUvekkSqS8AAEAASURBVNHxX5hea0KrvkJgwyKweCXkL3/5i+8H+7T7xz/+8RXC8qtf/eo/T/kJRFFPe9rTFlLyCgmr7InAsI/yVQWGCLixjlHt1a9+db5605veZEj7GzEnnXTS1a9+dTPIPBLTPWau1QisZV0z6LfkH3TQQdH8acmGME5LOTJ+PsYyX66RJI1MFvzWmNF9I7NEssVi+Kc//enlL3/5ySefvCwapiX+xS9+8ahHPconIE2Nm9/85l/84he7heBvf/vbIYcc8vnPf35aCRE/TLYeumw2zRvo7WI7fR02/PSnPz2qfv/73/t7xSte8axnPesYIjuWPibLGqSZj6r5cg2bM8fisqiqh8RUzLpCYPFKyLpqXhFTCKwrBD796U/f7GY3+9GPfrSuqFo/xJBi73KXu/B/mE1SwTgbnzFvF4jhX//610c/+tEHH3zwP//5zzFVz07z97///Tmn/LbeeutnPOMZO++887nPfe4uy/Oe97x73OMe6u3iu8eRybpc9TgGgcV2+pgaN0kaHllf+tKXVH3ta197kxBQlRYCmzcCG+xMyJNO+W3eXbKxWkc+OPLIIzcWzZuQWlLaH/7wh5YAspRfG9OGuSAff/zxbczqhdeyrmmtgM9///d/T3ub8UMY89V8gfkYy3y55qNw4bkWiKFNFaUtikIThNhHV3/Zy16WDjAdkxkzSNAzMtmiKN+iyllsp69b6GzMfvOb37zhDW94uctdbt0SOYaw2QvNtBLmyzUsbY7FZVFVD4mpmHWFQO2ErKvuKGIKgUKgECgE/oMnTDjDFBaFwKZCgGr9qU99Su2XvvSlz3Wuc20qMqreQmBzRoA9Y7G/P//5zw984ANBdtxxx0XJJ5544tWudrX99tvv5z//+bOe9Sw6sbfXu971XvKSl0g8o/Zf/vKXtz7lJxDJFNKW7FHJJ5xwwoc//OE73vGOXDZxivvc5z5f/vKXu2L/9a9/sSjf7373u/jFL66Em970ppwH/vjHP3bJ7L1yGr7+9a8vjd81rnENBCM7k0VbnvrUpx599NHbbLONGunrvGsyQQaCeFA4G7Pjjjsq7Za3vCVSI4GqEYAM8UhCGPIQmdkFcMBslzS77777d77znYkIqOLxj3+8tsP2DW94QxRiu/ztb387X+qAZaeddlKaMtsq2jSSSSyLyDaNSh/+8IdHr/krLCYTDPvIK7V84hOf0BHBuIdoJzicv+FgMMBB4dB2yCQLHxP49re/Lfu222774x//uEvvMhPFHnbYYRE/kiojLsdbZDSSlQP5rvz2seuXeNWCk/NCUfEzNkS+8Y1v9OhvZIkBFq/EdI9Ry/8v4N/+mwgSJ0ltrw2HcSZrA11dI/sociHMNHnCE55goBpIJmM32LrCs962+V3rhh0h1zQYo/yJE9N4PuKII+5617uiDWTG5HAudN0XVOl3szKGcTTqIx/5SDtJ58ulFTHvMAT0GPZ2VBhcdXrXiYlSBlqewFvpzW9+8+9+97thRuyFR/X2228fE1DDWw4zDcMgbEmskpgIxOxox2Jy/iVnXFfUkDDFKq2dR9HRbXU5d9rSpiWLLvvYxz6WrBVEunjIfkcuGW2lwjlynFcxzAwb4D/sYQ9reWZkmd1HkQa1hsSQvaPNUoIVm9oBxZDHBgJKMDENsGDghty73/1u/YLN5los0nLWDmy1t0vDcMrM6PQlcUvGMlwZ22VxWGlgMu2ven/yk5+8/vWvf8c73tGmcaLj2GOPPeaYY0yxiP/Wt751/1N+P/3pT9uUw/Cvf/3r293udhDm12dwKuSAAw744Ac/2C2RXcYYAxbiaWMAqc997nMV+8pXvrLLS5awB0hgUHX3Kh5jSOj9D33oQ7G4G2CPfOQjtV2xGFQIQiJx43YxDapysuRAnc3ipuXStLvd7W76yM/0+cY3voE8cldwS5EPeMADvv/972cTYjTmuhbTsJ3FGU4e2FXdjuccuhPFyJZJwmGi4JSEtQEALjmt2vQVXhIBkC75Wzt3LKP2nve8p6nC59uAwwr32GOPr33ta/vvv/8Zz3jGHILLDWAN/Iff+9734qRmnX18YrQFxhp8oxvdKEqDlNXaYV9z47a3ve1FLnKRT37yk3vuuSee8qIXvej85z9/JLMyGa/EYnzHTOYVgMjHPe5xbCEcAzKZxNicGYLv3+QmN8Hjzn72s08jG7NGjGOjZh1/93Oc4xxS/uxnPzMb3/Wud6FZvBLe9ra3vfOd73zxi1/MAdpZTGk4EpChQ7WQmFEQMZjOmc50pq4ua8xee+211VZbPfShD3X8KxwYHBkML22zdO+995ZF9jvc4Q5WIyuixGKc2nzKU57yX//1X8hwDFQMvqZ3IKNTznzmM4vRa7QsPBdu+Iul9LWvfS2x/nWve11oUNJ0P5Q///nPp8tB+773ve/ZznY2xQ7RlsuqYC3ABK3WMJcM2p/5zGegfd7znrcrdtrjhS98YXvluDn2ccELXjCTQUDHeXWta11L5HiqsoTFBk5zmtNA7LSnPa1T18A0ci52sYuJXFYt17zmNfVXl8W4ff/733+pS10K4PHqox/96L3udS8DGKp6zaR45jOfaY686lWvClmkK2HG48g+ogpadawTRguffuO5G2wzqshXWmfQWry1xVA/z3nOM7SFz4ZxODENA2zhhS98oYmA/xAKoQEK7j3ml3U0plvS0AYINB/4wAfI+o94xCMsqBpFVnP8epdddmmTdeElcyFJd/gpGW2mYUhOMSu70trHHMPm+EMe8hCUm6e4By7fJsNevEWteY0nQAy70/VHHXVUTNtpGM6H1fnOdz6THZ7GwK677moQikFPUrskH0jigzBXEr31rW8VSW+0NERpmQazvfe9741XGPP4HmbOSp1vMzA72ZOf/GTsYuVLRlbXBaBhGF/hCld47GMf64AT7oRaI8esj5RL9lEWOGTvlrNDDz30wQ9+sMGMk1gyiPW6G49VV7LuKMHJH2P41Kc+dRjLJBMgwwGQmJuR1jvr5q1udavIZSTMXj6mdfrIpVYtw5XxN7/5jXFrndIvzgJZ2YVdToXjmYAzZgdRm0HTimz5swS85z3vSfQErALaFfFEUjGf/exn9YgAM+Juu+3WJu7CP/jBD4jXIqn62223Ha0pErRLZJclH9GDH5rjwzFg5loLkAQEzCSW2sj49a9/3ZrLmHLOc54zi+oCkJEA27/97W9vgdOVRCCMWnNgJdJqLhKG6CfhWIK7EvJxSWaVKdvAK17xCpoYZUm/4C2vec1roGShefazn+3kTERKQ+AxCyzQbd4Ij1zIhhmXFCOxnZGCU1f4sqZVl7ceV4QA6Bf7M0MIzWgywaLkUGHF0DosmRFJGyEhmYef+9znphHQGsAiTSjQWXI84ixpyLEeG/fqImpb3SOX9NKozkSNmH/84x/YECZuwoRVA0cmCkvGlpD0oJaUrDQMJSKzLVYUdWXKYSCIl5ciobpMAB9rp6oRkPEIQ57a8cdIKeCRJPfDH/4wYrBacp4C/ToEXCCTySQ2Dy1FktExVNdmV6/bBiMG8vBvyWOIUoU05BVpAAhGt4KQ2yKLv6CWixwgscdhH9H3lNBSDmFqCXo0POhJcNpkUbtk1LOsbkxAernoVxqe6a3HKM9hMJ6qoQEe2so32LLwYaAbmZFgCM6wKENL4d0AS4tRjLd8HNZLliJetyPHeiDGL2eWgUoGksYIn2ZgU3JX18g+yhnRdmWO5xyoXeHZkNnNz2RdYAhjktFNTKPdaCQ0xHBVDjSs0MYwPYfFIUruui+okhEzYVeLNDHyaem+GLCSXEFSywwDLsMgrYBRfveXbonsFmemXH1KscyMWveCF7xAUcSRZC+awHYgsh1IQwxHYtVR5TF4ftIQCcbMuGFRYoazZhjT9dfEckQOk0WMubDyJWNipTFyQE3JjJUlZx/zNo1CrvF9FNR27J0liH3NBDf3kwbiphXEiO1mHErawc9+JKaLpKXImKxy5PIxsdPVDtvZS20ylnbp0ZBg4+38DSEBG8fMs6UTA0b4E5/4RO1qJ7WU2sKw1cWj3MooErwTS8vI7E0twleZV6jxsPJjyMhkXSBz5RzMMZAcGA/BSbqmodYqZo4n6+5K9pgDOAUVLD1cLSCfkbQm+lVbVFDlb5QZjxoym8VNy8XIq1GKMsjDyqmojMR5dC6Ecymfxv+zgcOFrKs6OXzLOYdi5EjBKevNwMhplekrsCQCRsiY39qdCTHfwnhjaPoxdzF4GEPGVsTM/ddkY1cIi6a/7AHMA8Z0nAAmSbOrYR9MO2Zp1MKsgh2YuoQz+rpI26DMP3e6053SF0ukebXDDjsIMPJFxvhruWXTihrb+GFYCYxVrRXnK1/5ipXg7qf8Mh5hZjJuwvaDn6LWBZT+2nBPQwKDIiEejMNamIvyBKe3rLaqYBExXXOXKbIzHBI1tFQyyMOfBJNkMMmA5TKXuYwlTQIAghEBeFlWep3rXIeYjvVgoxmZAbxP1WrBK5Ny9mxbIrrJK83PxMBh+spkaudA4i2dJ9OMCbC+sMrgPmxpmZ4BjFXpNre5zelOd7plUZUlrP8Ae6olVh+ReGLDB19gCGT+BGzEaIWByozH6slA64LgZbVrZB8ZIVad7Mocz3rcMF5WjStJ3E1Ma6G9VsZI+0JpboSGMUyMM/gp9jOqu/Od74xFsCJHGnjK5ZQq0X/uXIaixdVWzz777APbKCfgyseJhYPRzKVKtVPG9ixPDLaSzCIBZsU70TZCzmtNMEFwRdoOCSwTt4EVYtUWJbzOZ9xCloyuye2jYWPjPfbxcvbZ62Y2lmy5fdSxdwuWDrUBYqclK8Vyrac4ti7OSAHrBSUkB/9Vr3pVw/iyl70sdTQjr3KVq4jMFXPk8tHWEuGRS20kNtq7lTHYvvUoF1ZCgvXXppapOqyujbGicaUWwz+t3UPAIQPzNt6aaLXVR2c5y1naQrqwhRj3EImr8MICmn1s9JhccA5zYZelfTTGrL8xB3MMJAfWKOVYoTgCZC46KmrFL3kIXuE3vvGNI6P2YmjCZIqMtPthvi8pX83N4phCopsMchWp3WYacCJSqzEckSOX8uFCJu/E32wxcrmCU1vFsqZVm7HCK0Rg7ZQQ624rKKO722efuyVXvvKV7eNndpylXc5JDOwK0nTiu1nKSwoXYGWRFyN+3/vex/Wz8wAZ3g4pMY4/knjcpPXjkteWLtZg3qZ6EJRjvqQlMiKRgq3I1fhDmqkH6WMWueIv/piMWwxBnxiK7XZOTWQdZXobPN0aRnbUZGJrqCXyklbRYKNDGIxXutKV7IrYvifZUGoj0vYrM2dKnCLzFxca0goueclLZqQAtEPnzB1tkcBBUptsItptgolhCN/gBjdQcn4qQXPY5PBB7ZVlWVRNrGIdRjKb2fJmauJDaC2JAWDwWMYMpNRAgnKrAtOptZO327LaMrKPLJzd/ArJxmAjjy6rxpUk7iYmoYFqZGBc97rXbYull44ZadqegprsC8kVQ5HQ4NtnLUlmqw5qY7owGIGpWzuc8Y2WJ5izfM9s9XQTsOOKXeEeV4hVV+A6n3HYwsqXjK7J7SMzTSsKp0yGtTITLLePOvZurnHFsXHR8ny1T1yS+HwS5ZM2VPFytBa33NuS1656I5ePLDMDI5faSD9cGcn6XnEi0rq0XFCWQi7PWiYGHAh0IMErNsS2Z5mibA4M489whjOAa6IjX5bPpGUV9kjiT30vMorUWJa4TDwMWOJbP6gYAy0HtmbpWedV8ptI9EALt+ncCjDDksWY9W0z9bLI4aiemLeNnI/FGT8tY8R1laktLdlDv/G23jY8cSFrE7Th2WLkcgWntuRlTas2Y4VXiMBWK8w/PruRagKPTz8+ZcyBaemNSxttxq6TBhbaNlmoH7ZZ20hTgn2UWmwdJb7YtW/fRnh8W3D8djXCW2OTgR2ls+7gRLge6Zk5RC3C+GlnqjGxg910JHUIOHgngb/hlJWJGTtVyquS4YE+Q8FgTuO8Yc8E+6Ak2AZhdSPTx/JG6iLd2iziTOWH8UnA2kF58yqLbQOYLFMxk0xHuTTB8TnAsDBFlg6ctpxlhbFjxDtr4ZAP1o945kDc3H53aIDLompZVW+qxEQZ+3v6l0WKB3DKELanrMfG8Fve8pZOy+Wwh1qj2kjrXs1oxcg+MgK7VceIImeTDOzvdcrwjOpW+GrGxGR+NvWAQLAwTkxtPGF2dRPn2uws3s7OFUPR2YkOLvPFBDE7ppUPRm9ZstuVXmJdT5wy6bqMRgiNFOuzx4vbEMV4cxGOu2QTH+fAqitn5IxrBamuhFV97BhmV9dyl4wuu8fh0MKISGkhuebsG9lH06i1mlgsdLEljCwb0nZHjA8+diOtSzB8HLl8DDMuC7chYyGUW48cd3HewL49DyiP+Hm7gA4rjRjmJ0Z3aoxFKtNYTON8SBcvAf3BCgucTDwMhCLNTmd7IfU9rDX2EqE6e/QOx4BGKS05sPlO36Am2XpCtmXRDNXXuZsxJCljZlOeyZYMzGZW07IPmzYt5ZLx0xayaRlncHhZsJ1lCU4TaxkzrSZmrMj5EFg7JWQ++laeC7shefsRO2aXZoVwwIuZ33ofKbEG/Cvt67Ozj3mL0QQLIzFPTB/WINwcS20dwyYmnhZJhvAqXCqnpRFvLeS0Si6hntG1OHv4iec6JT4ER1zSkuD4mtLg8PRTfmCxN2L7NVlzVwvuPO0VbNPK1eVaySOFiiFZF1MgLW84O3GTk167Tqw9VStp0ey8rJW6wqrGEzoUrUhvtFt67e85uTi7hMW+NZZaqBXO8rdc6WexJEVptu/scPKmIKVFDCGexybT5mqMwyWb0HnLLJm+SwBSwLaRLDutqdsrXjGcsxkXDJJIaZyYC90WSltIhBeO1ZIzLsXxITGbMGb8kjGNyOHIpyu2kXP3UdRI5zT9+XeRuiIG97P3SMCdRtL4+JHLx7DAFeJmxXF9AovYq1/9auuRswp+ZivHRWe7W9N7V7VVFcMXSUVvvS0sB9xBxVtJO2kbgByiZu+EhLuy7fRWCQR4mBEtgtMscUFe290Rw9DQ7lZpEX3DYS2eGkoLXyz9uCgFIypd53+nLWTzkb1CwWlVp9V8LdoScq2dO9amQtNCiJG1JzIp3+3PUTC02RzgxeviPKYXMjdzKaMyYS4OXS2KeKJ5yGp5fLClRJiHKH7EV4RHzdyVhphCbegKz8f037A0OslnMdN8WwfYPXnFGuCaC8tkEIB9k3TtFDOpQoYARxvhDGBHZRqFVgV1TXxLYFqNDTHMnSGN5sZtLHyxcHOaSUvD2lPV1r7AsM5yvQ8tK4+CZOFGl96nWGLH2d1twM0hqyH5DbFNk2HStvYBDbcj5DAMW6N7qDgWEiAg4yIg17OsPT1q7LywlksDEwZg21yQT3cO8d5SP1zIK2wW82xhWzFgeO51clhbiPBqYDUcFVnpKvGBLH8lgZFLxowqNLx7i53maZy5+yjKtCrZScO0naBzHVyc5SCFu+qtq3S+x/HLR1f+ynEjl9tFN08tvrYr+UGpgrrlEhfjs6suHxm/w2+KT2PuE4qUK5Q08S3T0zuUHAvfDMWGhSIWOHlZtbIu4Iunzy+5XzEcA7Q7mgaU0kJHO1IUF1nDI3yxFDuDqiRj8wjMWMjma+BKBKfVnlbztWhLyPVvRrXNssE4CMdHJiKyacuJusZifNzreZAzIbe2RqJel3Ilj+TvMKswiKYmMCyQL6npZFsc22pptowRp4bpu5jYLbVNj3Env+vSdI9q4TfvR1uzmOGzthRaq5KjkB4tft7aJ6G5SePsR1eONYDXAU0A5bkeRJrY5Wd/GklSV/LsR5yd5E38Yv1ShTWJL1ZaiFdI1dzWa/IuETDJmN2EkW9JnFZlY9XFbnkUJPMaNqozaFUtnPGrHaCgIqw1/oXJ0GhvjX9DMgyVYeSiYoxhxlQ0UEVYSbNYAspi53WWvGTAJd0miFlsLrdwmS8xQaaVwDrAVEyJAmw7s5TTtkUhzmu5T0nDW79/TTYkWnGqq2ixWK1wxnW0rfHjyCVjBlU4Rt7GG8nIW+ysrjHFaRlx5usjRWHprPsMRm6RcnNjy0vHLA0zaM5XcywfkXfluCUNeLgtCD9XSrhZ21ozXFAycfhNecyDcBQAGohjVJiPpaFbp/ha2+UIRT0L6QJxBEtk63tMe3ThvgnoSD1/5i5L9zgcA5gkjwzsKM1woDZO7ISId/TF45K6TVfLxn2cvZDN1665Bac1mFbztWhLyLX574TwwrSrQDbt7gXCp5iTmc+ZRfV0CENs560GgunEcbcFDgWCvhWaj1N7p43yXcThFc4YsgIDjBjaeVu1lSxdLNr4Lmxfnn0Fu3Q8oH2F07ktyq0glkPN53uGO0OmTYNrp9BssXTkwJ1mrakVPt2Z1za7g+Y8ynBVKlAbr7GMTxqujW38AsN2kOh11A+GJb1JDssVeiRVFC2ts8ZY8JIwQMEhH6cFYtiQ5NoEpMPFCtl4JQuoayK7oyBZKS7Mxm9HiAlc4owX4OrglVPLccFA+2rlYaOo63EHrogOaozTmUQBEMGndYJiF1gsPl1DVGfM2wFoxXFpiPKrWm9HRvsYQ9EhjXDqyFfQi6t4MqYLUEIwK5DGSbZ8S/Q03fIR99D7zC7SZ6SA9naH39q3wovFauSM62hYJ48jl4wZ1LLiG9uZwDriwEZyv7n7SIFcnkLntFQlfxOPwRKss8aVBMYsHxPLXwlu4HJ9JabdMVszd7YVAyXhN0UDSasZRwMzBZO082BdQFgSrC/o53ZHZxdrWpmPMsbVJpHdZgX2a4+dqY4TQZY5MeBzve26aa9juALSSHkWSEmrDAfs2duVEyvaiJFLLmTzNYoaPJ/gtAbTar4WbQm5Nn8lxOZm7FNztUo2bQ44BMa5KM0kwb9E5uJBVmNA9a2fxY4DF+NQA0KUTJcngq8vFRJN2GsZsDmb2pX219VVzCdBgDRc23GrJenBdlVhIXTyRK5Iry7up64I5AiL02k4iyy5hPt4pgELCR5PDDKwaayWSz0jTUq0NsrdK487m+1DSliwmOctkxS8pFzV5GZN9mEmhqVhroXEwM3VXgQyniduumh9sUZSRVzWcM0nMYSknuNkSQrD2OYcZIKp+QZPPkYJiKQSM0u3sviShWcCqoXNOgYzZ3LaoyCZQLfG9fOGk4Zkr5FcweJADj2NrpXpFxWgLasxG2tc2S5j80MMktSCWj1CVzHIgyoIGxLhtJ1khL2/01XybQZGwqhD7R6wI1jgM69+MTg79T7frnbAUGTZpRLQBhMuJPGsoy/NqB2M3OXh0xKvBLC3bbHTwgDBOafdvtP7cmV1UUuH4UqwinMpBL7U3kfOuBntnf2KkiOBcbKQZF0hI5eMLlf7aFQb28lDhB01xJPjKtXxfdSWGWGLQkjP2Dt5OiIxWMPAcjZMP0fMmOVDscNOXwludgXpGxgvB7NcFgEoxuS1agxvOsmmhUGBABpH2I1216jsu+++BqE0ljC/SKxAa7qh7v6VzD4xELsTDGox0qQJ3yEbj7wcLZ0Tc7WRLtk3DGIM+OszkcaAFbA76sn9m1bjY4ua6aOKreNDW9pmFl5yIZuvvXMLTmswreZr0ZaQa/N3x9KLOI41nvRGAnO/E0O+Ce9jQ1Z0FwLGOTBbBFgAQY2iQpbFBzlo8aVx+MESQkpg1VgIg8ABHbFQstMmGFPU5fMgtjhc6J477NiuLQifIg6asVFp6OsMMyzKGO6M0SmBLyUztRIEqRBkF9nd2ulsbmtBJ6lzrzr44IPtmUhDKAlYCItxyb1caKCWOIPu+ikrKBYcpCp5mlc9uVPVSbn2RtVuO+GXv1yHV+WQn3x1JI7uzGg1u6C9bNs7ZDIKZ3ycPtOPoYqc50MxFg+fYqBoWYEAwnzFJYDylkVNDFBCDC0+ACx5+pRhUueycolst7ysi8RxKhlqZaGwTSxtYqRyrFV8D0gJ3LF0RJfM4WMrHCWHv5YvzBjSvMa1gpUdMe5GcyAkPRa6vCt8NCzNF2PVQDJ3VBfycR5tYgbWWDcfuPEGJtRgmq0x7xgSarN2sgjVxeLt8xdIJa9PFD5GwmhPz6pvCqvRz8Rn3TQjDEUTTWexSQMza1+bgHnn7gdKCHttwmW4EncQPGNqA8S8MyX1rOYET9CE1tCrOV6ZL5GGWEbrM4a518Occii9ma6lHYZG/txYGczOulCiTHDuJQggpY2ZcXMDTmA1oowcM9R06wS7LHZkskyfgTFLRiYeBkwHzNxFTzavyMTWGtYNCxBmKPH4PhqWHFYGcx8/ZJBSPquQRyoBVily5Vt8I5ePiZ0+N25KM/xoVlDC3MwRrACLAJ01y8aFBEM0Iia0MjhQg22A0MdoIFRxjMicYoMw0UwHpjFXsJgFeKM2tqV1qwxWGUf89WNoMlR6hPnLZkdtaPNOCyPbGNA1pm0srDrLTYbdCsj6SQk58MAD/Z1o15tW/saNH7mQzdfA+QSnNZhW8zVni8jFKrnYHznVZiXszPwomVhPEhoeDY/rm2acn7ZecvT3E4ii4nOhWXL3GGmGucQzRTjzzdkpDBuWAZyIcBZZ4q8dWPJKJMAOMCacCGuzmmIQmLtk09rSlhPhiWRkMiZD0j+pEVBWU4fkeIXRMTKBAEcg6gEFQAJUoU3tYASmQKSciEC8UpoylSy7WtSlRvW2VXRptJqJHStv00AJViGrUdtIGKhCW6SZ2MygXErpVU2BwbvbqifmUqCelV6jkoBoYBuTr4YBln7mRjKZ5Xn4dkmqIgtsfTYe5XDTBPsJ0elL0mCoUH4CKAPGvhNLrf5qB7BxSCKknGgmURjB3SyIunKytI8BmozTfu1UanvN4DHyjX+1D2HJmLYukSP7KHOR7wM30PF9H1andmCCFLDSSCxv9HhLOYc6naiNFm9+g0leGxjCmGTgP21K8gSVxghUoErVfsQRRxj2BB0x+iswiWGWjKXrlCgwONuM2Tcyl9Ji3gVVBoxJR3f9X07X8Lq2FRlGLWDBqy1+AgS1jiegk7JqBGpgdD3YDX7bqmKgEaUNMRyJVRLTBgx1UhqSVMHYHK9Gzri2HOHhwBvGaKMDYFqnOgamroR8HCbrOjpSDssXH1DPXjKyogzEGLApwfLS9m/HVEf20URq1UWwjjGg+Ri7HVdNICKTj80dXEWaiTNiYksnRnZLw8TlY2KnL4nbxOoCwHZZjKYN16yEOgOwZTUz9gIKfDheGX50gFgBqalWMf5UyMuMGQic/c0Yec0apgoZ2VYUEodMMsGMQIwBzASrnzEGsgRTUmMZJWGekdMCE4fERM7TRc5+jOoMy46ZjMk1XLWV1kW2ozEGgCZP+6lUCV3VbQktOF0yr4LtzBac2hIyPGZaZeIKLImAuTbmdyoFTRsKFb/eELAbQxWxU2yZX/Jg3Hojfm56rOi0wSV3QpTvNKFlQ8CCERasuSutjCMRID3b3LBUc4FYyFbhyHo3s2TkOeZeBloO62M+jLCZNX+zaQ5ri+07gpHe3GwatSU0ZPwqs3A0aEq2TZhF7IsuvPAqEAJbpuC0ybt+pHKxeO/wTd7yzYCAmDMWs+70qrMEZD5eJTzdN4NmjmkCRzg+PNNcv7oSgOPUAatVaSAdMvW4ThCgbDiittdee7VOemgzzu21dh8wXic0FxmFwOaNwLJWmcVCwWfMhgn3szgvtNjCt7TSSnDaiD1eSsh67DUOvnysGdU4PtnPChJxK2cJHNRz8iF8i9cj6YumyTkWzkuzzxFyI6Fz+560DRAuv7MTL5rAKq8QWAYC8cEyp28dtUpDkfMzjus4J8afxBHJZRRXSQuBQmDFCIxZZVZcyb8VYFl3r4C/8W0AR1byUsp/S1cPy0GgBKfloLVe0v7b8az1QtQWT4dDeHZmSSr3vve9netwoI2bYxzvbg+vbwk4Oa24ZDO5xZPeItn+++9PD1kySyUoBDYJAk6T3/Wud3XtgYPgcW0ADYQ/hjP6Dp07JrRJqKpKC4EtGYExq8xi8XH8w50crGaKdXxrhx12mHHyfrFVb8alleC0ETu3lJB12muOfHAS9U0rSog7Z5zldTxOmOBCjlmnRG8istw34nQvtu7AzO677+6mi01ESFVbCCyNgInsM0F80FkZTHAHap1edVkWRXo1bk9emqBKUQgUAmuLgJnukjrLOkcs1z+OufN3bQncqLWV4LTheq4Opm+4LiuCC4FCoBAoBAqBQqAQKAQKgXWKQPobz6avzoTMxqfeFgKFQCFQCBQChUAhUAgUAoXAghEoJWTBgFZxhUAhUAgUAoVAIVAIFAKFQCEwG4FSQmbjU28LgUKgECgECoFCoBAoBAqBQmDBCJQSsmBAq7hCoBAoBAqBQqAQKAQKgUKgEJiNQCkhs/Gpt4VAIVAIFAKbGAGfbX3a057mW0AdHb608LKXveyII47I7yl1CeqxENjQCNTI39DdV8QviUDdjrUkRJWgECgECoFCYJMh4ENANI1nP/vZ5z//+YdE+Ojb8573PBee3ute99pqq7p0fohQxWxUBGrkb9SeK7r/4z/qdqwaBYVAIVAIFAIbG4Gvf/3rz3jGMx7zmMe0GsjnP//5K1zhCtQS6xzF48EPfvAXv/hFn1Ha2E0t6guBBoEa+Q0YFdxsESh3rM22a6thhUAhUAhsaAR+//vf+5D8LW5xCypH2xBfJqV72AP5+9//Lt7nSnfbbTffn/7ud7/bJqtwIbBBEaiRv0E7rsheLgKlhCwXsUpfCBQChUAhsBYIfPazn/3oRz/qW/KnOtWp2vp8df6rX/3qE57whNOf/vQRf/nLX/6c5zynj9CP9AFoS6twIbDeEKiRv956pOhZJQRKCVklYKvYQqAQKATWEQJ/+tOfXvKSl2y77bbXvva1/f3Upz61ZsSdeOKJFIZf/epXy6rxn//859FHH33Zy172Yhe7WGa09fGzn/3s4x//OH3j5z//ecaf7Wxnu/KVr/yhD32oreVVr3rV6173OhsmmawChcD6R2DlI3/9t7EoLAQCgVJCaiQUAoVAIbCZI0Bwv8997kMif8ELXvDkJz+ZcP+GN7yBU9NqN9u+BG3B4Y0HPehBzo4vqzoeKV/+8pcveMELnuEMZ8iMpz71qX/6058+7GEP05aMFLBVIuWXvvSl733vexnvqDoN5LGPfexf/vKXjKxAIbDOEVj5yF/nDSzyCoFEoJSQhGLdBdxH+ahHPeoSl7iE9fXmN7/5RHdna/wXvvCFV7/61Un9SSeddPWrX92SvyWvu6yh/3nKrzWLJkRzBFiRX/7yl5988slz5K0smxYBVnMzyAWvQcZ8E8TsO+igg3JOLXyArSpEBPFXvOIVRx555H777XeVq1zlNKc5zfnOd74rXvGK6cu0SrXjTm9+85tf85rXPOUpT7noRS+63FqATN8405nO1N55JfzHP/7R1oqGnOtc52rLPMtZzvKTn/zkRz/6UUZKTA8573nP+5CHPIRgl/GbNvCmN73JgPR3Bhl/+9vfDjnkEOfvM40BLJfBnDHrNjAkfoGkzj31TF7LosURB1gWPcNFdlnZ50i88pE/stIYVMbV7F+M1Q00Akc2f2Mlm2/lWv9tLCVknfYRr4PnnPLbeuutXQ6z8847n+c85xnS+ulPf/pmN7tZu+4O01TMChFgMH70ox998MEH2yVfYVGVfSMiQPm8y13u4hDCRiQezSh3aJsL1nWucx2Pt7vd7WyM7LXXXiSPVW3Rxz72sQMPPPDxj3/8xS9+8TkqMt0melJpzh/+8AdOZa1ykuV7lWEBabTU/gluuoHmr0uH73GPe6zBVlWL1aLCG5r4IQhrv8guZOQPG1IxhcA6RKBuVV+HnfK/JFlKuRZQMFyQf6ELXWgalbhVt+hOS1nxcyPAEraBxJe5m7mFZHSC+fjjj19WY4cyAc8iGwvLKmRTJTZ6P/zhD3NS2meffRzdXjMy7B05B7L99tuH5jNHvbywXHvVZWTPdhvv1a52tStd6Urdq3gcaiYKuf/973/Xu97VAfdb3vKWE3Ott8iJ2td6I3IaPRua+GGj1n6RXdTIH7ali3nSKb+MZGtn7rzABS5g62O5zpNZSAVWCYE5Vq5VomSxxdZOyGLxXHBp/CVW22ViwRRXcYVAIbCeEODR5IPiKOK/tGZ0kdv4iP7617++9a1vPdQKRpJxjnOcg/2Fa0rcwxu5HEb/yle+QglxAqQrR6VnPetZJ+66OLPOo9Vm5m9+85suVz0WAusNgQWO/PXWtKKnEOgQWLwSEg6vXFedVbj73e9On/a7733v+81vflPd1g/hiNx9991/8IMfdASxnz3iEY9wKzxXgWte85ouiXc0okvD5ZQZksoe5yWUxsp1zDHH/Otf/8qU7H92EhjAIs2wqGkOdkF/OEEqLZLxpWZNvMlNbuIOlnve854//vGPo6Ix1CZJbcDKysX8+te/vmaiEJ2oRbM04brK+eoDp/wEpBm6AkeyG9/4xrI4aSpNdw7Eag29QFJFLsZxsKGlQXhu+nXBYYcddpvb3AYgE/GfhlvAe9RRR73whS/UcL8DDjgghAzkcYPmNKItE8sMb2DN/MQnPnGnO91JMol90alrVPuoTBUFCBKjGeVtAuHZbYE8r3T7UTooytEtO+20k0tC2yOwhgQph8zUunH/8pe/BJH4HDDo0RE2uBCv7W2/t1QtmSxnGapiQumIHXfc0X2mMYra0obhGcMvEo+cHTN6s6s0CuRVbDo/8YlP1PYguJu2MwrsZjQMJw5p5cewVz5khhxmYtNiDEwce2jW73A2BowER42g5zc8dDR+ABsYiI/pr3AEk9dbxNoBMHEutIlnhNmk3/ve95puN7zhDS93ucvNSLnYV9///vc/+MEPXvWqV73UpS41d8nOeDi4AitoZCE//OEPLSL4uZMtLcOXwHy81rWu1V6llblshkDbEfljjz02I6cFEP/0pz/9Bje4gUnqN23tiMHc8tiXvvSl2HJXLB778Ic/3IDXj7aGuo7uEnuM8YmlC2PvCDApMpkmmzJmejBeIzwXjkwzcqZk+gyYBUsurBJH+cF2kNfOxGnETzxOMGMS7bDDDuBS+AwmmWRPDLRAGYdvectb/vGPfwxTzm7yjEUWCJYesorhgU6/FodhRV0M8jTfPbyGd75CzOc+9zmXMeAzixr5WfiiAi2w+mjiCAx2OkM8mEhMLmolOk7EZ7hyLWqZmFjdmkUuXgkJ0p2DtBEvbJZa/5xNdDeLCxPvfOc783ONSGmcGmzPMxChzOTXvva1173udYO5P/OZz8RwoZ+IwN3Xc41vSw59QDLGNqzzDne4A0aDNURKS69PXB133HH0kywKa5sts2YtXcDqRfa1Hbb33ns7DXn2s59dgjHUduXEo+ag1llJJyad9yDNvPOd70TtoYcein6LK7eBfffdFxvyE0C/g6RdUZGMu7P42972ttLIJTKSuX+T5zeZni+7le/Pf/7znnvu2d0SMzf9usCyqmRmRYDssccezolq0XOf+9xuI34ibijUKEIYp2dtB8LpTne6uL1HDIWEyoe1feYzn5lYpj69973vzbwq2YUvfGFGow6ZfCRMSPn85z9fvwOBVoZmg6eVaZZsC+StoFQOllcnQ+DM1OraUJIQeaiti/rhXOzXvva1jDREiQjXuMY14jyPNmqgjgjiaTKkw+z3zDUymfSvf/3rQUTsNqEo/FzwtdQoyqImBmYPv4lZZkcOe3Na+m9/+9sPeMADfNkaDg984AP51Uzs4mGB5oUjzttssw3EjHazhs0bkrgKuLI6TcMuHve4xxE79DhWwwcpNcBM1gWUsOuuuxob3djDtdRLyNDvet8YMBLueMc7TtycVAhixgxgUinl04VRmmMMG2AIFpPWFtMKOAYq7yktjfllnFDXu/nVNaR9DPnptKc9LVuPeHo7ea7Vh9vECw+rjic9tWc4PQkxeuTd7363z5xzqeIPkvMRzWGb0H0EEdyMWmhO+SWFcSBEzzrl0kr8vFLZuUDaflg9cwnERhBbEgmpje/CJtGtbnUrTMMcN9mNIpjrIOO2HWlyme8WoJbH6ilDpaVKaVgcUrfbbjuTlHypvbMdaC0uuJZBrgrsHQ2XvvSlk0jKyS677HLGM54RYRY+U8kMgnYmGDlTMn0G9MKYhRUaTtfAGZK4tAGsQ81EC4Gj/7OJz7qmBXISwfChD32owe9IJLFBGyE5LdcwHpEWI7ks99bZ29/+9vvvvz/xAKlt4iWbPG2RBTI2S0Vk1aLc6qNHPvKR5jUcDIAcz21dGbZwIAa7tiiQcxyasoMXb1HId1Gx73//+xc48rPqhQSWHIGaP1I8mEhPiY4TYRlGLmSZGBa7qBhzZGxRki7298Y3vlHdRAR6rTmvcAsGDtVFMks4sCjyXe96VxDwjW9843qn/BgDIkZ2s5HMR1xjQIrIww8/POQPd6RkMtfDkxKwewu5yN/+9rdECisuMTHTuJJSddYAHEokudmevsWegB5p4m/Q7288RjIZXY4UzYn4kdS2JUeYKExO0gT04D4RecIJJ6BWS0nYEcNAYo3xExgWkjHSo81KkDFJsBXRqhDxVnE6CYgS27nphx4eqlI33iR0jDoWaY3SO1FjktHhFvBSrsKAF4mVE9oUndNoSZott8okfUZMYKJqI8f4iciJfzOlAQXbSDMkcmRbkGecGC0aFUUZtMhw/jJrZwQV4+fyUFJOxLdjKdqoOSSSJN66pV/0O5NYZBmZLEruRpF7V3WxkW/8J2FdYOTwi+5bcnZM7M2uxnjM8UAyyFmZzc9hP61ACaAEK1miQBhCEgJkuxgz0U0tJiYsLhRnEnKOdE0zBvAEHdeOve985zumnlFK5FVdl0VMNz2j17pCTLppA7gFAR8zd+RNThijq504MX+TnkBgzF8cgH4VhI1Jv5A0xr9ZoFKTYligjjMl9SPRTWdJ5tZgPQUHMhyNna3Hj4Iqb/SprgmmLeZFL3oRM5Cpl/w/qsBPSMYtV+mqjk7EEGjC3at8tMpYa4y0j3zkIxkJQyoiOg3OiMzBPJvHEqmJv0ozMWPt0Hat1sa2tKyoDRiu0uS88Cpi2tKUGYtay3PGzJS2ogyPWVglZgXQa+0A1kf2NlFrPkZp04hvmyNlN4k0x0hQDoiSQ1oiGSVFJi/qciX9bYB9DSdsieSUqGeNq5aNj2wyshGQDERF+AOTRLu4iLTpikEBp2tmS1iGc9ZTNvDkiDcvlKkuA36BIz8rXTIQA3ua1DFmBI5cUidSkotaiY4T8emWoQUuExOrW2Gk6Tzyt1o7IXY8sAB7lGYUw6HNEAFGRJbaiGQMtukh0rLhrwa/5z3vYTxjt7ClLsZPSgYkxkUbHQxjYvAmlmbWEVsoeWZRMnIGpmCpJmhKhuOwijEg5UFMaZgSaSnkM9P7f0tfzg/n4osVlMs3ktqJNXzyk5+076GZBBR3tkQa4oVtCkvgW9/61tmGuollDiMVyNAYa7y3jpo5kQkf49jjSui3vcD8Y3G1ADPIRdXEAlrERS5yEWy9tQN1uCWdwGRozEfMV5m77bYbmtPMjGYGSGXCpPXk1ihmwjGO5lLim6CYRuSy2pLUCsRixu4eVk8WdGE7UQij3QUCItlKNdNwlYUBTBsZwPySeCIF/Vy/MwyHPWxksiDGLKPQ5igyccwCI9/4b6ltw6sx/LrebKvrwiQDCqT9q4jP5kMGXJm4K9CMMAYkYGWUJZLBkFSh+ewUcXWyUQTGFhMT1iO/mix5GDAGOA4px1Znjj2bBgpn1tUdwyzDmOUOYNM/QcDHYtM4OKHCI2CMJcMxF3BO9JjCw9pnxNhzYH2XwF1SM5It9pXxbxYoc7h/K1LHmZL6kfbInC/mbW97G53Emqq93KXwKD9XqXqFw9jL4hIZBYrBZzB5Ynfyf5GmIQlYD8ZcEzP8xWFfS8yMnTHb8ojn6sm8nSVgI8D3SHvJSIHZPFYC29EGJLaGM0RXaruNKaOrLWdZ4bY0ZdK7rK2GX+yujJwpwxpHLqzK1yJucu0s1kfWMmToo5b5D2uZHUMuhzChnPNCckjMjZygcCNk5MKNUViGlNbOMvtjNivok0nDyCZn+jaA4SCMQzhfyoy3VFlkdQRSM3JaIGc9TTWEFimNKA4C/tohWeDIn0bDfPGzR+DcS2oSU6JjQjE7sMBlYnZFq/12tZQQrsDtImF+agmBLMVijxwfs3m4A/HIEpIaSLzCjNgGTGzOOWJ4F2B/1iSzNPMK8Ofhnpgx1mx12TBlNiOQkbm94q/vgKbdz5aGzDI7gP52QR1J7bBMgmZ8qBhjTT4byZjHtNROxQwJcljgtBj4d3dqLYR+1RHLLOSo5UbV1k6qcPrT21ZO6nDL9BKnAiNSq+Wy0nB0zjQCl7nMZUjVEGuXfz4e0zwu2rzCxlJ3GPeSl7wkaSyJXFZb2sJhy2NEdkYs8b/73e+E9SlqrcRxDoHFLq7xCbnZoI02tg2Xl6xp2NOxY4EcmSyIAUU7y7pZ0BIc4VUafl1vDuvNGBKGJTYfBXSQboIeDDO+K9CMMEKMri6v0UJU5XFhv0Je5gkIEx9bTOgVsy9EIk8Yz3yuOseh+93vfjgS6SqpmhFY7gCOIZEFtrxLJNXdX74oXFBSN2MJRg8AM9eYAN3YWmVmreWBECM5rAak1RlEYoDETUzPmOeDwa+JmNj2XeTV6ZRPaHTeUFky46tD8OaR0lJty7cZQExw/pizGd8GjMb3ve99tllSHY23XQdF5Gwea9EJwxk9Ib1kZWQXE9NWuqywWfD/2LvzuP+O+W78pWqvpQhirxBCgiSNULWF1B40xFZLbEnpbW9raTWiCVIUScW+JUJrb5VW0btiizsRexJCFIkKQuwp+nve5v5N53HO53Ou8/lc51q/r+uP6zGfOXNmec3Me97rnLa2OqhSycid0m9x5MGKXSbTWp+dUB+9Mok8DPvT129rXo7Z4YzHqQGVbst0xtg+mpku1BhV6ZALKwR9rq+MHHIt3yZsQ3uTJNxZb+0h25afmVbYkJG+KoQoRiEFTORIeqqVP7P1pTOHV6DhjGcPZvYhrONMWPqZEx4T/crXM+cia9RYh0it2AoDBQWV44RbZIdLK5733Oupu9pHVB24PU+xemL1EMHaKJWhA4nTKvOCP+cc5RZ1o5O4w/qv2LFSADPdfrV3id6WerAUqAyms//pLqSW6UafW25sZPf6xTod7hRYuv/qOfPMM8v/4pRVa6ZYwgLS/eMVCA8lf143OsGjhS3onBlqIKYqqVqg1Ya40lYDV82cmQByR+DEW3i9dnKhsbRNqJYYRt9m+WEoqX9wwBRvyjBE0IQRUZjsNcQ7Fq9s3otkwu3KcNqqrGocGw0iEBzhY4rV4XdgbKudmV6j5Te+G9ZDq3rQSUiaJpyNKa5ibadC4hww7W6h4ViHdmhF/CD4yUQi/K9EoBYrh3392UmUtYfv6fATnWLDP6ddwEw3lKx0KEw0bIx8PPwkSNR5H+5MfVr5YARnIfao1jAvYbMjuexXJo5pgrG6Lck7bqRG3EQzUONa3NIhvGGeiYBlzCZytxWzYUceIFdzSWJhY2avJsG2M/10max+fpvjJMIaElAtKicLf6r2aUnPI27lKRCIBHRhfY1JRz3Ur3kgR6MDT0fulIEaPBo4WGkDEauOnD9c2xJPrVtyrC3PMIVgco3jXsVHaGRVKAmvbBS4T/ztAvS5X8/AkPuF2xwU1XLSVSSIEU9X26fDadsZsaIjKByOwsXQZCXXnT7tyh/uz8inwytw6SO1tt4n4PXRzMQSzMzAdG9a1rE/9qmOiX7N65yzVkLIosMo5xal5mGHHTb8Lj8zyioxmvWeE7SGbolhFEWo7/KMp9aiYBMb7ZDzJ+qO1xZLSGtqr+UXSozv7cxqHZbzOB4kshjWZ744VeZq+m8D60Zx35yqP6WeVsPXqXkM39B5xU/8bkfmZCuo9F2B1Yyl2OIY6GjXMCtkSCyU+otZg/+GR6ay3J2CVSq+BJitfj/lFK3GyGIzaxifuYHLjxKhM8smqCOW9AdiuZLc/GEH+087Of3aymHfKVZ/tka2mrlcojO0tpKFFjBhTDAuj0cKfuwvJtsfKscxiUplvLIZJ1euSaADbtU3bceWSxMF2f14ydKYWPDLVeItiLFT2RRkrWExicnLX78hNbgPoJ+/dA7JQeC1Owmq4gN6tieb0hJ1Wo0do4pKhtm4JVqpryy0U+pbJTHmYCXkYJpXf4B2mq4/ceHiAUSGUKiXTAuDM1tfP1VfmZfoE39qRC4SbfkxQ27Lt2kntSvUeFbX85quE8tRVCFtyXlpQytqF2x0KYO+EX3LnQT1rXVb+bXF1SRWc6Qu1+54ZmbkdG9m1rGFaKpjoq1zQ9Jr5Y616GCcJdiReRFRVCNiHJ2jEkwlFG90z/yJBcnRHKOMtGjFglnbxeWjXAzrGESKCnTNYUmtUm6xqMWWS4zs7bzKbQYDmflUJzuqvpnFVpm5mv4Xtr7GaBpI5681eS/UTyz4vPJ9w9G8km2+CvWtzSGm0uTh5yAgfzVjoTtn8ceaOIQczKxYFJw0slgWfC1VnEd4Fz81ZDWWFufFLPp8npIji7UjWiK9gcuvPyNUziu6eoPOlNXI1M5687NElhco+rXhbPqZFbdFFW/1xX5iwgVM0hA7hL5hUNgc+GFrDtNTYn/7Tc/MwQ9ZmaDrOK/OLLxoJqrLBE3fXINbag2Vu6o58xLmrjhZ6SojcGe3zntrlfkD0o7OCCxxsRK7k6vnDBD+VGPlYpUl2rXwLL/OiwOrsVNy0Z8L7ZS2csiPOViZkYu6pH13qjRS4JjmBqlCnl38nQiEZoQmsWMaHdMikFXYlrQ9mZ1rzsgh1/JtwpJw3wMJhHsFLWeJyeE2fP/7378tNpymsSouoEVD4WByF4Wd3qrJhmvYhE9Xc6QuNxxrfsdhHTsQTXJMdOpc/5+bRQjBedNSIDrOtgEU6AkoBWmShMc5kmnRpG1m0nC1aXZet0CpqCkReVS7hYayYaZBtr41RjM6sre1zprQVSc0NU/xuqn5ElQITJk4hml1lm0TNb10/9VQmDZy3YQcQ2ELUPbaw5JwkJA2cfbjtb9tDdyiOm4hDiHI88pzmq5yLGrgkWUqLSdOKSReHiPsIRwwnEmYP4+waMX1ghKuqD+HYxZHFmvHuFB69ctvzO4Y6BL/ipYPUJIIZ0aAM8AagtqU4VM7s9lpqARa9HuIjxnY8naceiyzTm1c6YjT+FEyW+dR/+caLWANcQ9gc3jd617H989G0Kuia+z3oZ9jQxk4UbnjZN+WxPrYyyXHjmbZkNPh3tryNe0tncGSdmJpFKjcVR/V+npJCEB35YA7APwUDNA6x3dKrv4nYcCf6bZP59VG6hMfL+wQf4nLpISGP9XAvMNlXj3yi94d/kXKakv2l2j7dDXpkTul38TIg9WgkGJoOHDbSiwbtxW7WbheM90+nZd21jvx61PHn4sQ3RIpdFMUEO8GnmyObwtymCuoNZREkYFRlWqjKPlOk3YeRw65U7mftglHRL4ViAO7jTstEH+U36MVF3xbm21SFI7lOgSKVGSQ2acts+XSa8EeDIMwkplZYro3Fes4DMJqjonhmtfh6WYRQhwMTBlYN/qPDnfLM8EjIWu4ASuJVwa9SEf9huK0lJ2+mTOlWMa2KtSzVagXAVqFrRMXLqetZ94EjOxt/3WNFls259HOSU/rhq6xhAxwY/0Kl8tZuv+aY3FGc6ktO5fMmBcfb0GRBxi+eb0VLI7Bctt9Cc6uxVixCI0YnU4gby0wnOCL0hFsWCdUCGTNeXc1Y3GEYO/02VRe3LJgAABAAElEQVRyCMavyDG/eos54zHoESml8Ljaoo2W5uXfGaNOekT/Vw7akcWGBz7v6fjlt5rdMa91+cCvLG8pJqgDXDb4AGtoskyZd0ukb62fatOl9Vxjnd8ySyhqZxUpU/0264ttojjbsJHiddp8seaqohkZE2kw4QJGgnBgWLGO/w+KtxBlMHDk1IgswiJyt6MT1EGq4TRoZ7HClUe2MH90t9MUvtlFPbhACvL2xZouN4VYJ7S/5s5XHaqI6KfoVSU7rGp9tySUR9VdyytuCkkxv6XD6Dz2sSXdnReX+6lOU4xJKuqAmZUU4u/rJfiPWgChpmWoP0cmiC7YaFu+Q+qNutxNMrKehYqN3Cn9OkcerFagnWgbdog8BYH1QEQpvHi//oKnVtpHRIL2tEUALQDqBlJEW0yZEvTVZg6kvY4moColYKyWJCHY1PXnyCHX8jVRNZ7WiVmu+Qg7obr+XDFB21jYGD3RMUSMsbfvvLdiPZuqwGqO1OUGMpKZGTndm5Z17IAz1THRqXZDfm4WIcRhxhXPUXTMMcc4++sJhI6wxnLPpZXEDVhwPOEcCeW4KpBRJOBFWnbTMeMkc+dvcYkuxdAgjg0cN0vYtPMVEXHy4T9Kc16hAKPkWHEmRvZ2Zj3oI07dtV1Ody2WMogXtQoKLp5+IUsINYBTweHailIz220zV9N/TJv+Q5Ind1U1UTG6zZ2POK+kJUznJgLrw//B7KuqdLU4Z5tW3ndFY9QOYUwaU8Ufz/IohSXcvy5Nx1lMKyPHUpSajOYdJbQwJKc+D3L5hetSuTXMGIK7wn+0bjDikeBmgdFq1zEC0JCtQDaTMsaRxcYMf2aZkctvNbtjZrsl02wab102eAvfBLBb7X1rct6LJqv4Odgj9Zi3Z4WrWjNeLPfP2tfcqeXgnouEX8vMq1m+t0RfmBcOn3VekB1RASQBVghlim7VMTZvl024gPmyY01wrtw8an8QCjmIHll3Hp/XGSOaQK8h0yInHneeCurg+6oh4Nuz5WkxbliKRWjRluWN2JJnOq8zZxVHRJtUFB8pwoLnKlaK4cyKTyZWtQ6hPDIjlBe2knzheVoXmM5SjSxbFeaOTt1IXbvcaXH1PwGCnbUlNTqvtmK3tK6qQAV5hBq5nvfKQD7R2qXw3mXtWfSIKWoXS26g/v6jkTul/+LIg9XZxGyF3CGkla6aOHvHSnD7Szm8+p0vO9SJXPe+1yFTf+oSkxriSUJrzcV2osO9LdbvfCcHQbCj7dmWK1ADytMyCSOHrPLOIWs3FXWAQ7BqEq1n9VvAnc4M/yz1oP8u2vLVgXqhy/Bbm/npyCN1wiGMZGZGTjfiYMtvTtaxBW2qY6Ktc6PS/6Pv2age1HYx0zysnGcU6lwtaZQdiq6Qp7RD46g5laSYdGmmHYsU+uNmQMygdXaBjO9JOQVpU2wDRJCCjXcv46ZHGET5qiLMqMqZpyo8IsaXOtDNM6rCOvPX4kLDcUs3aq/mJcb0dua7hKgjjzzSMYwVdgEOppB0VIbpM70MODPfmpfJDIdfxNc6+BF6I5pXspO/dP/ptGg9mZ6wj5BH7ilvuFLQN/syzFOe8pQldDmOLp+7on/lCMEW7+MwtEowoWDzSUSDahVOnYEM/MREcunms1dq4MLneHN8VpBHjkXrbGhEGmFI3rVaiBnatcysUqIXVhW7VnqCj8HVYb+s2NYNBhE0Rkc1/3JDM0bnli5Zctaq1VvGOLLYwKiHH41cfqvcHfP6YCfyeMGhWjaGD4fCHFiN814p+VhVE2d5eLdsfBz5P/7jP2I1GDzLjrbwLD+7SfQ2hZadhYNRphON2mnIGeZaMwujs/YUs62KqhLFdzhRT4goM608TzqVTLiALQMkDn+jP1yDXAaqdaTJQOwvAvnIvYDX599iWRb+r9NhPzHlBIka1IFL1qjpIAaXLQxA3wJyJPdtQciXdas/bvtAf3SYyMSigncv4j2FqJ4jzjayJVdbp0RnfjH13qLzdt2ZPeiPBQa8eDiCky0mJGDkMGvNKyaK3spWhee8wo4en0un9iLrlh1qudqzThxiKr6Z9FX47Hk1tPmc+w8//HAT4SQyfTAxjyQcgKzIVVt49qCTSLf1ZHws+Jid0naypEcerAo7UtudiF4V4u840HSprd95i9C2dUBbcpW8sxTJrJZhB7efvuxkFiSghzt3MYMwCaczhYVDfKQ2yibVH1+dKlVZzyit1yuV1s/xQ+4fspQmKhSKxnnBNnHK+ElXZbpltuadAsi8/8WV0TGHS6nfVZtXeIl83mKIFUjbqLkl6hn/ir08OXuwYutjmJmR072ZWccWh6mOibbODUs7e6b9K/cmdQKX8QRGaDO0bc3MJHiQQ9Aj5S0IbirONgdhfZFM4rjCWSqABUGtsK0spA5sOcWHW2GveNHrKplXlTKsLmpA7lUlYsTZU3pV+y8HozkvKHbF3tZudxJOcaIIT4nSN4ecQIJ2mCgmVaU/ic677U+vINOouXoQMlLWvA7PnJel+w9w5mN6PtBp2snkAk0astq3hbpR3vK6SopTrOlw6Y3ZoYWtdY7ERPlS0qwRlkgO1oB+YnR4kbUVlppXHItiVJKYQr0yWJrR8iI1mM8pyiFF4E5KJgbLbMr0X7pk1v/tGHUJgGDUgVqgJFYsNnM2OT0bsuUK/E6FnZ8rLj/lx+yOmd3otFV+1vWAMbXRIOnPFHd290CF+tPuaCQCobCAO80V6GjWTYH/rCKYJOlKfGpPwFXflfadikJVrBZflOvUjDlmyFIP/oaEOXMptrNWRjdyAfcpYVuVRvv7q/Z8XqIgqc9owswyGGIrEHdiGStgvAQ8qmhcby0vUhYXXn/WBK9CvarfdC+QCgnQ7VLGZHmqDJ67viWBoS/01tQTF+sjLxLRKYZJNfZazZ8qoX7dw+fpwHCdemXnllMDfcZW4hFxmfhOywl/6fWZS0j+zNVb9lo50Swwh1f5BLjCAz2xIEVpl25g+pW0gOFpqbRvzVyHI3dKW4/0yINVSfWzV5hBi7wQMVuspav9znsLhk7nggMkgWCi0av2jPOiDeupkRq747vsIAZtOaBTz8why+/8FRBKJ8tmtOA75HHkkFXVOWS1xUJYKtcx25NVR8foMlxpMLDpOp0sG9++61CbTrGlf5YFWUnfivWUhd3OSPvK+BU45khtay7pmdunTxsVnpkJw+3NOvbJzuqPif4sTJVj14z8+79RVvkLAkEgCKwpAn0CuqbN7eCVV0kYI+skmIkGmzD+iQXDU2WKzMAsjJcq5Z1wz3zmMxkAO68rjDVnDMTVlUckDVVpq8gzJRPzjRvD9uEsOzWs/089ZIXj5TUPjfXvUloMAiR8Yj//w0ARBLYZAijtyL8LOzzyFwSCQBAIAtsGAZIDRxEa1nk+Hgx3bDuMZqJZjJqI6NZBCTn1tis2K+4rrTNVwYf/DGsJRbU/OVTghZeiA+bbVsr470WurZwV8Vg1c0MSHM8EsLHA8MWa3MtrQ0aURrcBAgJUWP/8VffgbTCoDCEILIpAhJBFEUv5IBAEgsCmQ0BIFT83UQQEDO4K/FiEuhY5od/XEhDiZgUx6AI5BGPQyCompwgSJA1hDDw8y08R+aot9fBo4pDGsMDLRQ5nfQ7xbg4QXtJpCHfFNZ/L4hK3S3WqWvonoxCbD1lLPM/4cI6lm8uLQWAAAe58LjLhveZmMPuCh7CraCIYDyCWR9segQgh236KM8AgEAS2PwIMDgJ/sfssGAK+WSF87nAef8NFSmy0pyzmeHSRnQKyYVRu+/G1B6wSDqlcJCVcrVwq5SIBZcQWs4SU+HUlxbYxuQgC7t9IoX7+XUUOESW//nNAAuEk5iowNxaUiPn170NaDAIVAZHilqKLHJgNXafx2Mc+ViR3fZpEENgBEfh1tw/tgMPOkINAEFhPBAShCsHH1IrFxxSuZ9M7SFvcn4RhuH5KqAYbiBjNAcW/R4Jo3Q1IwHBdldsIBYULHXZBn3s+XOjEqMIqUqBzba5oChYPTQitZgBhP3EzHlEEU+WiMxe+uSVpJs7kEBePklLcBMh4MtClma+vMtMdEu6kIgj1BaRV1pzXg8ASCFiH1ATuZ3OD3/AOXaLyvBIEtiICFxINsxX7nT4HgSAQBILAuiHgM7I+qebmqHnWlXXrSRoKAkEgCASBzYzAeMki7libeR7TtyAQBILAxiPgnl8XTI3/SsnG9zg9CAJBIAgEgU2PQCwhm36K0sEgEASCwMYhILLC/VfCQvo3ZW1cp9JyEAgCQSAIbFIExltCIoRs0ilMt4JAEAgCQSAIBIEgEASCwNZCYLwQEnesrTWz6W0QCAJBIAgEgSAQBIJAENjyCEQI2fJTmAEEgSAQBIJAEAgCQSAIrCcCguVcQf6lL32p3+hJJ5101FFH+QpT/9Fa5LA8fOADH3A5u6/Hdur/6U9/6iJ114qMt050aljTnxFC1hTeVB4EgkAQCAJBIAgEgSCwrRDwzVa3kx9wwAFuIe8PTBCdP3cxE1T6T6fN8X2nY445hpjx8Ic/vHxetq3/4he/uH6+8Y1vfO9737sJ5ZAIIe1kJR0EgkAQCAJBIAgEgSAQBOYi8J//+Z9Pf/rTDz744Bve8Ia10Fe/+tXb3e52f/zHf/yTn/xE5q1vfetb3OIWvsVXftZi0ybIFX/3d3/32c9+1hdj229fnnzyyb719NznPlcBn2r90z/909e97nUf+chHpm199bVFCFk9hqkhCASBIBAEgkAQCAJBYPsjwPLw4he/+KpXvarPsLaj/a9f/WH63Sgo3yeV7nznO59zzjn/8i//0habNv2Zz3zmBS94AXGIpNHWzAuLTKKrF1xwgfwrX/nK973vfV/0ohedd955bbENT0cI2fApSAeCQBAIAkEgCASBIBAEtgACp59++tvf/vb99tvvYhe7WNtdflknnnji0UcffbnLXa7kX/7yl7/lLW/JBLFGrL8IkLe85S3Xuc51dt1117Yn0gQk5hHmmtrJvfba6xvf+MYHP/jBTsmN/RkhZGPx326tf/3rX3/3u9/N8HeFK1yBGqD8MUr+zd/8jY+d/eAHP2gHTGHAOHj44YcT2dv8tU5/+9vf1snnPe9597///ffee+8Pf/jDbYs6+Sd/8iennHJKm5l0EAgCQSAIBIEgEARIGowM17/+9SsUDA74ik984hPveMc7vvzlL9d8Cay/7yx9/vOfbzOnSvMK+9CHPnSjG93oMpe5TK2T6UM+xuZtb3vbt771rZrvQ0+77bYbs8yauofV5kYmIoSMBCrFRiFw9atf/a53vSsnyPvc5z7lhQc/+MH/+I//+PjHP/42t7nNb/7mb9ZaSijVO9/5To6MAqdq/jokLnvZy97xjnckbLzpTW/SJVqEtlE5gsncMkHVQUxqHyUdBIJAEAgCQSAI7LAI0Jl++tOfpmZt+f4LX/jCLsJ61rOehfnhk9WCwypylatcxWVZbeZU6f/4j/8Q+8ExjMK31qkz3/zmN5/whCewwNRMCSYRcgj3rVYyaQtsSHrzCiEMXje96U0POeSQIrR95zvfudOv/iRWjxQZ0ZzRwQ9UhQGlDn/1q19dyxx//PHe8r/mJDETAbtRhFZ5tP/++7d7tWSSQJ7//OfbyWwmv/VbvzWzkrXL/I3f+A2Vl7vzKAb6HZCDmrzhDW8w+0vLIWXFWsNW8urHwsfU7RbIzeqrUsNyu2m5tybpcCrZtAhsezqJULz85S+feQvnpp2URTvWOW07PxetrVOeYpjDerGNMz5///vf7xTYwJ/TTu5yuC331gaCtm5Nb06OC0eKvcHQ+6tQ4PsJJ1/72tducpObEAlqvoRil7zkJT0qsRnto9Wn9YQ69dKXvnRbFSvND3/4w9NOO+3GN75xy964OOsSl7jEV77yFUabtvzGpjevELKxuGj94x//+G1ve1sudBvek3XowNlnn/3+979/qobUduaZZ6rtete73u67796pFtfiMof3vOc9GyKBlM7YhJ/85Cel99hjj5l2GFFcf/VXf/XSl77U3dud/m/IT5FnD3zgA9fZb21DRppGtxYC25tO2nGcM//2b/+2f/v+1pqmjert+eef/7SnPY3b+u///u/7osI97nEPbNBGdabTbia3A0h+jkHgl7/8JS1qvySjxKc+9ak999yzEyBeSv74xz9eCxoysydaFA1COOFtTiDpdFWg/KZiJLr963R3R/5pxZjFHQEB65jW3+aZarBf+MIXXKGttute97o777xzp1rqfMfSs5/97N/+7d/uPFq3n/Yh/RONhV06r1HX2z3gAQ9wcLKWdHQb815Zu/x5tGa5FmklXRm+6LvLvbVoKym/tRDY3nSSxmQtWIetNcWr6S1KSyN7z3ve03cMWnfc1dQ51buTT67g4FNPPXXR7i331qKtpPxUCGDrreQOc2gtUcfgE252s5v1v9ShaZmtx9RUnZm5p9hq6FjZZLAu/Ya8MrOH/ZLrkxNLyPrgvHlbIdYLjfj7v//7a17zmpP00plNH1CqcoV2xxeL+dtppK1b3epWa7EnRw7BZ32cjqj/gHShe7R3TGHwQWJG1pxiQSAIBIEg0CLAHaWvkW0LJB0EtgoCTHnXuMY1CCFcnmqfWfywPRSXFK81syQwD7gs4bIzfS46hRf9ebWrXQ0P04nx8FPgR98xrEjd4umveMUrLtrQ2pVfKyHkrLPOeuITn3jta18bJ0fFTp187rnntsNguqIL9yUXBeaVacvPTHOUf+tb3+omZpwuNa1bkN0+Zr47hTWtA9aHYpxTOed1CnR+kiPFouCS5f/FX/yF7tXQFDkm0morTq4qvNe97jWzUQg86UlP0ujSo+v0ai1+YsQZJf7oj/5IcLbYqUmasDOLGURtIiIuetGLttV+7nOf++d//mdLYoD7d5ndu971LqHh7VSa64997GP/9m//xsxSKjStHLpEwLNptE2smGaLFI6iGKWFoDE3WrzwhS8khpUokfZ1whJTCV+CFddM+9a8dPH9FYlUF6S1se+++x577LEl8Gnmi+Ut69DTIrmVqKTiL+vaDTd/22j+jjrqqOJ1aiACSO5+97sXP2yPHvGIR1i0VZTqRHeUnxY5LzUeaLqkY5auXdN+7XW5t8qg2iHzcjzhhBNQyTboqzN2XeWBphuvetWrOo84+/kg1L3vfe966aGOuRWxdLs/WK/P9C0u23w4aKdFBs7WbZkywUIWpBrMXWnXf8Jqx2A1kkCNIYbm1NSATgdm0jrryqPOVW+dKQOFYobsVjpXN6rHLB933HEF4ZG9rdOxsXSyADIw6ajHRz/60RqNADoAdvZ4O2TE3FHiQJFZxghM3DNCVNiLPrwVCgkrFmmad+pRzZSj5H3ve1/7lnTZ4C7wqLrVtlcz57q8Im6Ns6i7B/X8QQ96kH3Rqbn8LB1zGJXVaxQzoZj57nDmMMJl7Vlg0IMhJIf3WqFad7jDHeat8P5iLt3rRHiOBGfe5A5skBX3aWm6cgst9Rigq8u9VcZeGa2yeh0H7koCoFEMzF27wPrLvryoDGv5QQcdhKLOm5FCVyEpepbXgLXqz44rDAAKX3afzEc96lHtGVqGrJPOhWc84xma0I15rFRnIC0lnEntlW+5LyvQ4pfTqWfpn1gat1HpeRvdJBDcqHl3u/amcwpYBqAY8LkY7onaXHXFzFLpg/JAALtANXxU6UxrsHVJqRbtdxaPlonC+egn8whv8+FG1/Pp9EIIkucwdiuZwHyR5BzryWpPfepTH/rQh9ZV+O///u/ilXF+YgYwOo5DQCvzyEc+Etwjx28aUPwDDzwQL+Kj9Iceeiiz7wEHHCDiuV0ElrvFrXLrQ0Om4XGPe9w8el2aNnOucnrsYx/r513uchc99LMasAQp3v72t7cErWwbz1g0Ksih7bbraBH61772tfvss4/XbYMjjjhCN3SmLTaQLhTZoYjvtHxt1JYd9KK1RfghdxkXWQ7tbo/PUrO50BPtquFud7ubS2mdW3gpT20MMYJ8pXxQ0+LGZ2PHsX1eGejVmEfF00nJsj3aV1TuejgFBIq0QV2lDKdJvte6KpQKpF4X7FVfB51zGvdZJRxhJyi7nuNoF+o2JMt9ed5yeJsjCwmSgi46y4/h0hLFsU0VEW44qtIoIcHStSCN2tLldz5PDkHU7B3r0LvWpOXU6lqe+cxnAkHP7TUXX6CPhvCwhz1MjgpdSmYDQhsrD1JrteLZTyDTZBXr4fd+7/esk5122smukWOp9wvXnDFvmTJDVhsw9ceqe/SjH+2o7uhvap0Sjj2bzhpwGaK90D7C6sFQJ13BLt/CMDQfqTV8lcPBtWZ26Jvf/OaFVkXbRCd9xhlnwBOGZuHJT34yOv7whz/cbkIBrFhbr2TaUK95zWtqoyMJ1BhiiMRBjMhtyMZYaJ0xEjtbWtfp9ryfYLeQcMOWh+1WHCZH9ratcwPppElnpaQ9aSfdMqDgKD0Ei4NAGWw6Tsh6RjCVtzXqHsdmucrGNnSbzVN+9QcEP1GDsuRsAXyS6/atQzvU1pPTIlDTJt16Q6s7p16l+QUr9ATRbtkFNbDKYtPr5YHjJ8L9mzYRc67jD81EKGp/aqJ2zOlAYDMEa9WeBYURlWHWwgslVkQYheeFpRXowRCS6NjMTmq3Ui1qFJNlytwmZEI7p/n4Hq4IzsDkztwgY/bpzO6NoZD9F8e8RcaG8Ctf+UpfonCjI1sT1UxRV/UrrDkrLnslLQzUBvsh7hnptmxsJTKJGen7BbziFa/AXXgLPdQTNNAuQy3/4A/+ALtVMpV5yEMe0omwdWMBls8JjrqibzyIVpxx60Rhq9dgrRMqSHJXh9o7HZwCFrx8PS+cmP94oQpCP2GnYIrwJ9Sy2HcUvh58lrpRY7TIPK769K6dTqg2R7WeEhBizTuOq3asPBWe4YwQI14Lj0ygXU4Z2FIQ27yVyUTK/vqv/1ofVEveMEwnbGuWKQEhwLc2Wr5Cx1DOSmpGdmOJYvUQHPWu0tP+GT8nnJvf/OZEsVIzEo9x15s///M/N51YQEvnWte6Fq12bZoxC7ujDLVcySRRMCdZmrg0OXS0toE/CT/VY3qUd4qUAjKtIWsaoXdVc6nEIzXIEfOA9Ms0f8T33/md3/GuRVyKzfyP++mUKSrDtjYviudGZB1d3/ve90o9WBbD9+d0KTka/ad/+idDNnDDn9lcm2kXodruusVnyy+bp6BXiqGSyLSe+GynpQZhm01v/ZeuVdHxaxQmFqhiBCFlbLNawC5CNTqZ9elyCbfuqtCfHaKfbSUgApRHbR/aAtJF823qLYD2EZWzF9t8I7XHgFAXSVt+IG1mvaU2c4SOqwdDBig5L3nJSzovlkknuAKw82j4Z1mxbYfLktYKJtKCL68TyUy0JVRXy8xqrVUv6nl9WjpmrxUTR8m30nySRcl2JVj55GGZFajObio/FXAGIGqlKmvGypFpQkvOcm/BzTnU7pq6Hdou1XHVRFktBoik1Ewb30aocFlg+Ly2ciVJmIRVE1rhKlj5X+uRKMShnaD2aUm3yJA9Smbx/S1w1UyzoKuVDowkUCOJYdlTqCjoSh/KsmnB6a8QJTtTJqcUg0+daJkje1ua7vxffzppZWJnO5OOZzWVaA4Fkx5STCjQrmfrkNrLrBHAypFhx1lIeI5KM8ua9yLOpgxzzCJREgjWG3pSTz2bDuOifuuzkEE8Dd4IM4QVqxiW+us8jpyISknaJVHrbBNuwnGU6JhNUfNpA9Ecw6wbpHPadn7WF9vEGISVH1MVEIrKzwlVyawVfr/73U8ni45JVf3FXPrTWYHjwZk5uTM3yMh92hlsSz3qduvT1eXeql3CgRSyUA9Ei9wo2slq02OWPQ4K8nh9vS3vasIpaT1bw1ZyySx0VUk8VemD6SMS60CbqWN2mcx6lNQ5ancobsSyHKDbZZ2o2blf92x9C7ejV0QsV9PaUO2xWJg0RKMOpwWkDlCvbA0ciD7orWPLcDTkMCXq85sg6vvCmPL2qbVaz1M5hBNiLcmtw/OwllCerrhP+/2pOYXU6w8OmXBY8jHPpZOIjG4TUXCJ9RVsjK7SKXfGS0dT5JZaco0SFsP4v//RNBvk6v8MyTipKuk/quRHZiXM+SMs2jlIMCiJ7ICrLVpYvEf8JBzXzIGEqki6rtrAz9XbNuCOlvG9s4WKjgfl5dhDIncSFLU6DaufTAcDlQ8/amtTks0HlSeJYkf8hMA//MM/YFOoZj0qVWnUhylI8HQJK34Fr7gQeJGHidBtwquEn9Z9qY0ywLc1OITQoxs+4RvClBbUzPRwJN1SzH9UgyaDppPUrphNSHHSWuLIS9T85JD2szv19SUShl88nbxLAd/ReyFeDkX9NN0zK3dyl6swaR2KgrYUY6thfJRu842akobSxeiqnWpmtZ3MoidAT9ERi1A91OqooWIoF0rXli9dtc/t5zZ/6TT6aPoqApQcPryK0GhiiTo5Y8CzvqiTdhBCw7BjXCXfysf6mGX0ujO6+qKELlm07JYl0xUf9qw0TNpinfSKb0Gb2YfN0Mape7Bsh05VnZ8Wj4EgJm2sJxJvg8gvK1aa3UO38SvVbgZhekGkhurImdSpdomfZYx14wCcqkw95rFmcmhkVah0YCSBGkkMyxQ4CFGS0n/LBsEEkZWzxIgoz9r9NbK3CzW0dnSyuHTa+HQ6ddLNiC1suq1/B7/TwUGAFavrGQGkuMEQeERUMBY7DnpQrTvFmlenzx5Xo/2YIVPeq9N601w99XQMAjppffKQUQ+nFMse96D/tVrI8zIlJFCyylxoIghdtn9dErXONoGc6gmnGtb4mg8ZNAdRRRBq5kKJkQiPrNMxDUBTY0OZpvKWFc52qqt2cUe1PKbaMeAM1NPZICP36cwKV6SQy71lUXEhxgdTbJc1YBlbvVidmRXWzBWXPbbbEnV8s13Ui540QXWL1bFlaHtrbRLWua1X+mD6iloTp4FA1Y45gJTsHCVFBVB3KK6aAGMfWQwzb7O1bT1ylPire7a+hdPDP1jVlpM6VV47qef01yQKiq2a2UnoKlJgvdmzGAOzxkSjRYwHEw0WH+dm4MUlAb+BmOiqA6jUQ3zCmBFX2GbbmmmfVaXDBYr20ch04RAUtlsLWytt0plcnHQIjqPQCeiQrU+xwbpKGKvT5xXcF10kn5oK+MgOrHWxiYUQPBCOwf7nptZ23YLAmoPADEGNNElKq+SmlESj21eG0xYHRp9s2plyK1LTnpaz2V6SwGi2k6FdJHi4/oGnprytjQNM23MabuvSBq4SSKnKnnHS2CHD36whyXC3sFeLb7F3BTNhemxpYpulTxRh2UR9CGB2S92KBoUXx7GVu3FLo6QyCZJPYXA5XOlYG5OEQVSAe08pWd5azX8LgGBTarClOwEhjq7iCKerM1tx2NjwHplZW7eWMS66yX6+URuOKLFOQ/XFfoJ1sjSBXiOppUCpRxrz0Zov5ZTJRbzMbL+2JXIIli3/p4Z5Ph5jKrfgqxCuPNC42xE+O19gdI94i+fMmi1stbWP2oXd5rfpFd+ieLMHnUxtP61bp0Jbz8w0ZYHF77itk+KAsfFNnOE4cjBwXnTC1Y1Q6rF+bDdNF9XAzMrHZ5oyh1Mtb0v6icq1dznoQLuqRxKokcRQW1pHGfiE1OMZ/4HUkMdqx8YnoNoeiiN7O75+JdeOTtq/VhQvStu2dgltPOyww+BjbdC8IKFkws4u4HdeBP6i0cCXO5icRM6men6TE3Ab9DW15hUTFN66hOBXCaS8Uhc5Vb1ZAzgPCi1az5ZuKWOJ6qpJLGfKQhNhEa5IOtQME+xIO92aXvHF4VGPRHi4kvq0kggTVDMlSINm0x4fqZps3x0DTlu+k+5skJH7tFNJ+bkihVzirUr64NMq4MoKn1lhzVxx2fuOFsOFPWKL1bckOqxOfYQ8thxRIZUAbE+cljbWFy1ObHT9KQFn+8guwCq0+SWtS/2jxCOcBsbGtnVGa1TMA27hyCOPtGzo4xWQyUmMSW0M/22nUOnqm0XuLS6vPBirsqn2Sg4PQ7fsYE5qZieBPtvsXKZbfDplxvwsDAMpgthTy2OlECt7RIfpHHFxOlNV1bVYSaBvnjLUU1t0Hm34z/+nK52qH0gtVSXRreV051UOL+IaVY3JtryYzOaV7OcXVtv/4pRVCxDiLVPuTKRS06Nmj2ySWqAkkOB2h3SeDv9sOY9+SdyqxWFozGQt16Ukg6z/uoSj6jwq9TAjcCwmoVFm8JcomUpiPkraf4YOIq8ELUV7kGDfC6Um59TC1DlYMUwblZLQQNum2JpLASVncvz19SUSxl4sIeAtnFNbCVWE2UGe2sw2DRxHsndb8ofgsnV6sZPvRRXiMklobSXDaesTjVOGLqEyMZoobK4mOuxsqc3mb4EdbmL4KRo94S0Z81ajtYQiszvR4bFT07/S5Qzz/fZsibIY7n/n6YpvAdwrbRxLqcFq7K+QTuXeKlwIDbGTxjQZBQAxc0qiNubF8UMK7bxI6PIun9qZh1mn8Io/RxK0tp6RBKq+MkwMCWOU2YgDP0b6Alo3P8l1S8xXabEwCrX1RXtbXxxIzFuZ5ZXV0MmyoorpYGYHbFUmKdrHzje8FC7r0HFuLWFWwMh9kULHxiefUEygmVZmh2Wf2UrN1BzyS9tKy1MzS6IsclIKEw0eDumjEcOaGAJpRGbxIiMvlfILTcRClKQczQgCJRHGCEHodHWhnyMRbvnjgfrLhHb4UeVxrlYRyt/yXgP1tI8WAqd9saQ7G6QWGN6ntVibWJFCtoVrevitQvrQTwusvlISfUrbKbDQsqdVpJjDumAVhDPh0/rcVD+n0+K8n0DuCCe2IWKOhTDjHf2yIRf7pOPMkmjrdHbbgPhsC8kxwTLD/sD30p+fNjWbjEsRxmsq0VVnJRumkD+eVB2Fcm1a5agHR3EBJH0QiNZ2GduIQdVXlkuU1YjBM8xSgwRVI3+5wsNgWigamG7EHbAodvYdfEggwrCdIwtRtuV6u+hbEwshqC2m0Jk93A9lBNaQMitxMZ12VOtKNFyDvaFAcUkcLulpZ6HLscj6i2bFesYUwBbbDIRjarkx5dsyYClhT1wL+udZKYkLUTnRgq63fRfv7mCw3Fsa5MwTZ0xc4YtJB0BgayXyKjB0FHhttYumMYt64i37dpgLmVlzUYlRbLcqTOYsu0t5/Kh10r6IGNmNC/UfPSWEQIaMWqvipFRERPl9xqUW2xIJnA0PXcSxyFr6jG0lcfXP+HUYDvJHClq6IcuVvMGCamGYemcMBs7ibxlQ3ibzCCtO1KZYuvXVvDieQI0hhs5jnsp4ZU6YlDVOGn82u1Aljmftpl6uz+N7u1z9/beWppPjV5STeN7CcO7gaeh3sAi4DQoaqHLi9aerHC36bhX9IXRyBpqzbjWnvHOH5yfNKH6CEIIC0xDZm3U9r8VE2AUuosRR1b1gB6GZRUPXGcVCPweGXBEeX2GHc2pfLFJKm7P+6TH7dN165cDinLNcc2OWPQMCZSgjAHm1tILaWLqsKGUlL9d05y096Uw6ZrrPrZW3aA2KL3HxTu9U5WdVaeETsEmvf/3r8YdYSovfn+ODbYS+ch5N6FTo3HFi4gpYIQZeITK1OuK2EpqFqlxo85dIc0mga3Ogly1Mw2h2SCY2cq0NdHyS6882AWfxEW3OpkpP7I5FfF9RAmGjcKeHWy9o8iwUEjatGMa6xDONRAfiSnYiTc1N/bMQa1V9P3iMWj+zll9NwqbSNwcbeax2pk2Qm62JmU04FZxJHol8mLnu9Zk7igJWZKsCIfYUvxSLsuNRw/rmQMWG4lpKWFht2v4kMJgF9uKaucoEZrHUQN3Sd/Eqe2leE9iLapmxkEoxM2WRFIsnucsp3r4uoMU+X3HJta9QPdrJCFYLFNlJz9FZ2tAOWSzvGounbT2bM01RR/ygmNE98idPDGenHceFbwmZcPVjZPNZaHb6LdIcOwzMmpVQfLEcDy3b7by0v/ovyrFNxniUzXx3lZkjCdR4YmjIVPvcDFBLKknqLj10uIrRnDf88UMY2dvxFa5Ycmk6iXiO8anQAVzLPGSsyWKNpEcs16mZCLSXUGenk/TsHettxVG0BQaaw6lUmo8gU3OYQX1D7jTammQnnwiU8w//8A9JIOK7XBhlB6F+Dgs3ubWdXy49MOSK8Pia1TavcN/UOa/kGuWP36dr1IFOtZbTajAZXvZWJj8OIayORXGnaA4TBH6GKrDEwnU6s/TP/vpxfs1jzHBE5WiutynoZ/snEKDqKB12gh+sdiow/APxCbfDVsBHZmRvjVdPbBbyzKKkYGQT44uZ7sJ+FGkco2iCHAHVlWN8VZuw5MRCCBoKLPNXzUZlzKRnVyCKXrIUrGncMKdDlBF9ZCYTXmmFFVX0SIyKHYNx2SoceKUwmsVPqS2GptAPtTlTpTE96C/ODwiL1skWXyTdeZwTNr1YJO2xVmHAVlDupuTL2OH5AMvlgByiZqYnHSu9glsJkSctdOye47tN3aVm5xkNIvKhiSItqIEc1Xc6KnsJ8twh+q3YYEV531pOLRKEg4FCefxoKyEoj0BwTZkpsPXrl1OlOIFD1f8YFIQZPceO9IlsoYlWdX84M5vY2ExLiOcrX773vOc9lB+IL2HVrrQfl1iQqx+LqaHxVU/xM2krtAeL0azN7KftdHxbMZExg/hZfLGUZF7HMlozZVO079Ioa9GsWXJtfps2s0trE9t6ZqZHEqgliCFqyVToCgqbDrZ2R1Gfz+yGSa9bfmaBkjmytwM1LPpoNXSy2Cr754XIVP4GjmfzjmIg+31kyjosJ07bZ+uECygBHotDQwFVrsJtgYG05ihH+BWTDzvFyiJXoEgXntL4cDfn1sIMwreQ2qi1aU87ESibQF5yDpUf6ygvX/J8QQ9/2enqQj+XQHig/uJXXM+OWtIO1U+LvFU61Kc1sXa7uDaxxD6t765FAvfp1EY/LbBO/X1K2ynQ/py57K18KkuKdhuKmoNiThqxZb3sb7q2tkXTJAQsTfsWFgIx11zral4KOH/lS4+fbkZydgxMJr9c8Rt495FCCJrJ3iIKV3M26fgW27FMmLZn7TgVomkYLSpF0SBUbBM2sYFVTSyEYOwKBa9XJJWxOQuxEUQRZ08RCfC+lS4rA9nOK8OgsCajp9YWUt6W5J+DEUdti4zBKUgxLGYbVUz+rkbG9t1J0hDAyKIOlNAdAYlDhUfihkuwVL+5ss7kF8a3FlCPbQAihKC/OYnp7g8xcKwneaNw5I4cFKTUIAenjnFxGlUTPECILgqYCNt7CVkfjM5s0SZOfSIl8bL6d8G8cop1FBLopuYkZpp0ETgMJRCqZcaxpPJysx6uojotqAEmRFmt1MJtQ/PShJ9iSjIRVXTRbYw7eZUetGNpUU/RPXBym+cgN6+tDcm30aw9mHTMUDZdvTBgnTvGVIWNsAfb88b0IQhjeuKYJEp53eo1NIJoNemQSP1UCddbu6OtreiYkemyXwqpKVNZizlpVsmK1ar6iZEEagwxZOckT9rdtljbEINASw3KGDussz1Vmmhf7KdH9rb/4tI5q6GTpAVUwpJoqRZyRMGPptEQ28uOIQuMlqrtIaLH7cq7alCeS7DFSR5oy4C0o8dpn85MM9sSJPA35Z6PWsaaLLohx1D1R9c6K72VrP96yBDdGnamnYjKNaK6ldzpHhzKVSW1q4smxiA8vs5KItpj2uvkOrNTrdZ4Soscn9rKluaxsy/Gtzu+5Jh9Or621ZespA8+EKgV2hHDfPaYZY+GYCeQ2XZlaoJ4MIaY1M6smND5zg61g/Tf6VxVhG0lZePTPHbWiV3vEfu/489ioOx2zVp73Fg2rYN3W2c/bdsyL4ugEI9OX2CrUkwo5syy9uYxb/16JsyhcS7MD2Ui9aKjnFW83dETtrX+VU0shMClqFuEH1SKbGPQ22EUSJaEkBLpT750uJYBm1e8pruNx4+f3U1DjNoEViujvKgh7uMug8IyFk6F378r1djjXGdW2BQrSdNyVmxLVzExZn0mxzzvddTBFQS4cJFAjhnNlZLQIL8yHTiBENOZr+u2Fz2i46zg2Es+BkKhhXwQiFkJFJBZSI/6eQeKnQKIT6YUqiGTDIZpq5yZ+y7sQ4drtZ+QRuwuVTFZmB2W+trVmX3rZ7oDoHI8XEUd3mhBqdPUVMNo+6LWnTdyiiTQPpImaJlKusAiCVCTiKthQjWJaKJ3q/FRV009EaXdinRC7oiwAn2CraLXacLuNSlOtdo9Jd3HhxvwH0PQKe9n4VNJOxtrCSk2vQp4v58lh6RkCeHGWuWNtecLVnWbzHt3jfLxVabJbQrWcKHgZfqs6pEtmhcKY1vY6nI2tMYNmm+LDelAQOrxgMGi+rVZrIdSGCaEWAxo1eRBww7tK19HdmnFYiMJ1BhiaOXb1+inTVrZboOVAxAEoei2y85y0VOdaDsIMvXnQJ9H9nZmDetPJw1Z7Cm7rksC64pC1a0xiwHRZuhQwFxb9kAo3S7HEMsqz2k1INSWBIJAX1MhsjI5/iERqKJxedGuRzaJry3j28GBgKE5Yr/m6qmnY9pSOQUQXXL7CmJinyLaGqIbqvKJMquZiLaJkq5KK9SyngVwsPLHnID9CmvOGIRr4RUTZCQA6pKO1RVOR0BKtEP5BZW5wJiaF6BZ+e28Lz2WMZNbOj9mn644zGkLUM0IuRbOZOWXsxsmdoR9MdDQmGUPZ+pCSuFympfa7CPLe1qCqTYzXnefzcixgrkDB6Wf/VG4+8EGt61wLHWdeF0lotXLnsWH4BMwRczmBRb1MFFSB9CFtVbHTv32OHUktspRgnQ4szgROF8Us4sNH3uj3bLwOu8u+tNmFG8DZ6RgjAhtIxetIgFMRJkbeJf2Xlm0q+tQfuLAdD1GUJjw3DDL1dUmIQxYDeKtBfIXlpGlAieBI8crMCpZTGydKA520/Iy2Tjsls+YiQKWGq9JNLdqLTghm1ae6wKYOMjBXL8Kw+q/ND5S+CZx1pJySOjMGF0XOmsVWnb4Wgc8KjmzJ/1Mp2BBwEh54mJ5ifuoA65dQMi8mxbU4wQSRK6r7mRgVOWFYvOQqXw0ByE2ZGXc88DugcsElO1KLAa17Yeloz8onQGgp9Bw+FGg6n9RDJPsNVHK2LrFWOSGaVPDZKlYeeS/jcGoIuFCnvpKfVoSKDg6yG6rKvNoBstNZaoyNaW3nVf8tOtwhKaetadKRKVYUeuiBewV6hRG5mN5QDDL1hJS6+yxnNx3pFG6EAbW1kzvKZBVxdYEiuI03+lAMVUTmUpEjYb02fphpDK/LQLlRd1AKHHAZq0+Ba+1ivpbUW3oUaetaX9iQ+lQrSsHA7SLBaDfhMmy6dyBZu1JEOdQZ8w3NECHytMVlRO9/+4a5diD5tGKtTAsp7oHbROSsHGtuNlxAKbACve/c4qgxdaJNVMrt9nLXnM1isVTBgUWJIJkQiUhIZOdkLjLyFbCkCYf+0gCNZIY4pvxkeyNrH+UczZOIapoHcpQViYaZcbp8GxeK8QGgUPhVDqKw/5gR/a2/6Kc9aeTdj0ocAydSSdUIJ5Fh4qPQTeQCDsULDLL6UAk4OZe6AYk1YDYsqhbFfaFzeV0cISJWiwnCGyZVihBvGU5qUorfRzIyU4i+tfOqWfF0qR0jhtKTfn0ZSSQIjrWClczEbWSmigaMUvd9z3ppGw9B4qfSDdkZK5GsT0G4dqT4QQKwIOfFsm0OtHq6kUfaNYqZTYcekyipjMLT+lgNV+Im0PTKTncxMynIyfXuyP36cxW1igTbceMPupRjxJsjc2g60ETnJI8jRHb4tc3s+kVl73liuA446x2f2wI+G+npL3je3kojENkHlcws8V5mbqK97ND7T58IHrlwCVROBpmvmIXWyc4DfHDClsn3rKeOVDgYfTNhILFNqRKAAv+h9yC0yhl7NDKI3Xqt9Jwp+qxN1FXglwhETpGxEV7tYVvQSvmMTadCod/UhE6Cg2WLYikjWPp8EKd1618p79ME2EU68Z1dLqxVj8Ji2vxh8u0iIv6Fl1GOJiGa0MYhfoUV4EgWgToI7qGOqOMSqoBlanfpLTuRXt3Ar7VKViKK3+ZIQ1ZJVRWtaGSkCNfzUD0n0rVgSSNV+uUbH8SeRE4p7iSth8jRrmMqxMNb4nrpK7qcPs6wYN4UPYqHNgKBU6psy3TT6tN98om9K4a1NMpVmrGFvtDI7gSdYaMJxOnQcxDpPB/uqf/zjyV16pIIJay0dmfpP+aXxIF/P6gOsW86Py22+FPUkcK6Qw6nem8QhJz0hgg5r7zyIuOHFiVJUGOKgWAhrwaqSY8Qmsow/p9NqKqceQkRtnQqd9PVTHCQNXY/WECkADcTL9kySGyIj22vW7XMmXGrQpCSM3sJ8qKbTHsLOn6ysx1VZ+WhEY5v5UNxWgjc95bZQmV1V4WXoHL9xD0mTnCu53d1PlZmy5m6LpNOsU6P+e9VfKtSdJC2Q6mSTcIjfpTK6+vz0wor7CzpyUjtWSpvMgnhoy2mOXOXgOLLVBg0Q0CCYKj9XaCaoU1MXOMZQF0XpyZOYZAjSGG+lOIGBIHB38zaZ0RGVcB2UiNl+nM9m/JpiF7febSHdPbikxNwHn96aTWDZadp04oltoyqL2SKNSp0A1Dtur61KkzZEuoyLRtPTBEsoomkpa0fdSm4YDCo/Nlk+qY7lk/bZmaLpt3Hpnq9Ko/1/MoSa2/TVBp+6JU6b+qSq+wQQQnemXnmsKdCjs/29ra9BiER1al2naF660+z6TzKnSoKeDQMbnKlCYqJRnfokb7kztvg4zZp52mZ1IPjXbo6nJvlYnADBRWChoOYkSVhs5q73AppXD931lg/WXvvENyy3kKajgTDr1FCaJyRKZQ15lnUGd0pdFOZh0yrrrMZpnxDo80s/52nRg19g8TqG91dBKFRyqUsPQfo9LnGeor6uSMbWh2BLVUzYcD1lENtHgWQM1fZcJhQSOs81rEhFRWZ6DaAoWJKBt2oORmeGR5jP/7v45u+QsCfQSc6LxZEIv+o1Xm0Mc7oUmelukqq+q/rk72ymES3H9rZg4xBrtPfnNgzyyQzNUgUI6lIlCtWE85/PxfsWQKBIEgEAR2WAQKtzogLW8GZKoQgh3fDP3ZqD6wXFU9+0AfcDWMM7gmyrWBYpvn0XgJRMnZwQnks/ztyAhYGezdjIDcKCfHQYwHlTbjGLXH5JWz6dM/VT+c1dRPI8JmyrbLkWk19ezg77JimQ5G/A4OxXueRb6T3//J5k7XzouAbb3/NDlBIAgEgR0NAWKGD2uWmw/q2Cn72Rac2g7ZmpnE5kSAltPhyKV2RYdktxzxg3BvOL+MzTmW1fQqQshq0Nu27+LjXVLhTp7iYD3tODlusrGwtqufIXLCylkqxXuxqJa7/FZTs47x1PIdIq4sOryaqnbwd3kYu9rBXQs1KBwgJBCqHR5xwpnm4UMSRqb9L/djcsvu+NbPezH5QSAIBIHtjYCoD/YEnkhCC8pIKcJp1mn3BF4OxIRsb1i2yugcbRznRJxzx5rZZwwYqcN/Z6VQN8zSJKrVmW1tbOb0gekbO560PgkCYsTF9U5S1cxKRHfxZNWK3SVWYZKrHkpkm0C94gk6s92RmSQQcajcuznFzrvKbGRVKcaOROYU7eNo5NLqPlMOu8IKecS69UEg4DyIuPny0y0mFJZoVzJEGpyHVfKDQBDYoRAQV+nyGApyVw6In0ZO67UK7kIoN0zuUIBsrcGKUaFTczHGzEh3l9+I6XX5DaMWQYU7hjN0ux5/FyI9b63JS2+3DQLWHpcnyhtXW5S7aDbD0Ny+hfHFLscLa6rpYM1wUrqCjE3DFRSkRJE2rrgZkEA0TQghuogL5IjldshyOfVUXUo9QSAIBIEtjQC9m4ubXv3qV/NW5QUgvhyrSnc2iVJvTZEp12+645Guc0VnpDXtyeasHGvEd8DFFRS17nd1XG4tZeh4sULJCCGbcxGmV0EgCASBIBAEgkAQCAJBYCshsJAQkpiQrTS16WsQCAJBIAgEgSAQBIJAENgGCEQI2QaTmCEEgSAQBIJAEAgCQSAIBIGthECEkK00W+lrEAgCQSAIBIEgEASCQBDYBghECNkGk5ghBIEgEASCQBAIAkEgCASBrYRAhJCtNFvpaxAIAkEgCASBIBAEgkAQ2AYIRAjZBpOYIQSBIBAEgkAQCAJBIAgEga2EQISQrTRb6WsQCAJBIAgEgSAQBIJAENgGCEQI2QaTmCEEgSAQBNYVATfB+0LzAx7wgA9/+MPr2nAaCwJBIAgEge2CQISQ7TKTGUcQCAJBYF0QOOuss3zH9973vvcJJ5ywLg2mkSAQBIJAENiGCEQI2YaTmiEFgSAQBNYOgatc5SpHHXXUQx/60LVrIjUHgSAQBILAtkfgItt+hBlgEAgCQSAITIjAxS9+8QlrS1VBIAgEgSCwYyIQS8iOOe8ZdRAIAkEgCASBIBAEgkAQ2DAEIoRsGPRpOAgEgSCwpgh86Utfev7zn3/729/+QQ960De/+U0hHDe4wQ0e9rCH/ehHP/LzCU94wmUuc5nnPve5oszXtBupPAgEgSAQBIJAH4EIIX1MkhMEgkAQ2A4I7LLLLre97W1PO+20q1/96q9//eu/973v7bHHHu6z+td//dcjjjhir732Et3xuc997oc//OF2GG3GEASCQBAIAlsKgQghW2q60tkgEASCwCIIkEDOOeecD3zgA1e60pXcqHvZy172F7/4xSte8YqHPOQhe++9t+iOq171qpe4xCUWqTJlg0AQCAJBIAhMgECEkAlATBVBIAgEgU2IwAUXXHDyySfr2I1udKMDDjiAJeTzn//8ueeeSxrZc889zzjjjM985jNsIxe5yEVOP/30m970phca/MsnQTbhFKdLQSAIBIHNg8Cizr25HWvzzF16EgSCQBCYEoHzzz//C1/4wrWudS3X6f7Wb/2WNKnjPve5z13uchfNnHLKKde73vV222036Z133vnoo4/++c9/PtD8rrvuOvA0j4JAEAgCQSAILIRAhJCF4ErhIBAEgsCWQeDss88+88wz999/f55XOn3SSSf5zyRyuctd7vvf/75okBve8IZXu9rVZP7mb/7mrW51qy0zsHQ0CASBIBAEtj4Cccfa+nOYEQSBILD1EXBj1Wte85pDDjnkBz/4wVSjYff44he/eJvb3OZSl7rUT37yEz5X7B677767+gWK+OmyLAEhwwaQqTqTeoJAEAgCQSAItAhECGnRSDoIBIEgsN4I/OxnP3N57i1ucYuDDz74xz/+8VTNC0Avto4idXzrW98ikzB97LTTTpooASEXu9jFjj/+eF5bizbK8Vf9i76V8kEgCASBIBAEKgIRQioUSQSBIBAE1huBU0899dhjj+UNJSpj2rbPO++8T37yk+LOi8PV17/+dUKI6PPyvfNf//Vfdy+WyPV73OMewkUWavqrX/3qa1/72ne84x3eevWrX33iiScysyxUQwoHgSAQBIJAELjQopHsgSwIBIEgEAQmR+Dwww//i7/4iz/8wz885phjyCST158Kg0AQCAJBIAisKQILyRQKxxKyptORyoNAEAgCQSAIBIEgEASCQBDoIhAhpItIfgeBIBAEgkAQCAJBIAgEgSCwpghECFlTeFN5EAgCQSAIBIEgEASCQBAIAl0EIoR0EcnvIBAEgkAQCAJBIAgEgSAQBNYUgQghawpvKg8CQSAIBIEgEASCQBAIAkGgi0CEkC4i+R0EgkAQ2E4I+Bbhc5/73AtN+veyl71sO0GUsQSBIBAEgsD6IxAhZP0xT4tBIAgEgfVD4CIXucihhx76T4m9YwAAQABJREFU4Ac/eP2aTEtBIAgEgSAQBFZC4CIrFcjzIBAEgkAQ2NoIXOYyl/mzP/uz008//eMf/3gdiU+n+yzJla50pZozL3Haaad99KMf9fq8Asn/7ne/+/KXv/zAAw/cZZddOmicdNJJ//t//+8/+qM/utSlLtV5tLV+Mqm95S1v8bHLe97znp2e//SnP33hC194xzveca+99mJy6zwd/ulbAf/+7//+t3/7txanyu9617s+/vGPv8Y1rjH8Vp4GgSCwDRCIELINJjFDCAJBIAisgMANbnCD//W//tchhxzygx/8oBT91re+de655/pCIhFlhZd/7dd+9rOfvfGNb3zyk5+M216x8I5W4Itf/OJhhx329Kc/vS+BgGKfffbxRXlCoDKLfpx+8yD5ox/96IgjjrjRjW50wAEH9HtFeLC6/vzP/9yKutOd7rSQHPLmN7/5b/7mbxjr7nOf+7zyla98wQtecOaZZ/L3u/KVr9xvKDlBIAhsJwTijrWdZjNjCQJBIAjMRgBfeN/73veP//iP28evf/3rjz/++DHfuL3YxS720Ic+9CUveUm+5t4CKP2f//mfxI+DDz74hje8YX1EZnvqU5+67777kk9k3vrWt77FLW7xl3/5l6SRWmYLJdhAjj766Etc4hKWUBUwLBuZO++8MyuZsbDz/Omf/unrXve6j3zkI+OHds4557zrXe96zWte85CHPIQd6a1vfesjH/nId77znf/6r/86vpKUDAJBYIsiECFki05cuh0EgkAQWAwBwSHU1R1NNsZxJNeI+7zb3e52r3vda7FWt3Vp3PmLX/ziq171qr/7u7/bDvSXv/wlDyWAF6kDdHe+850x3P/yL//SFtsq6Q984ANEhQc+8IFGVPtsjBdccAHbTrWtsV2QUl70ohedd955tdhw4stf/vJ+++3HTFeKkWSsMWn5wy/maRAIAlsagaL8ihCypScxnQ8CQSAILIAANvEJT3jCta51rfoODpIXzTe+8Y2aM5DguNWRYQYK7wiPxMm8/e1vx0azFLXjZTQQI3HiiSfuscceJf/yl7/8LW95S4aC8Qx6W+EGpjlinXDCCTe/+c2vdrWrtd349V//9Sc+8Ymf/exn999//5ovJsRa+uAHP1hzhhO/8zu/IzCpWlcUvsIVruC/gKXhF/M0CASBbYBAhJBtMIkZQhAIAkFgLAJcg7gPtaWxjNT5lPpt5rw0LhMzPe/pjpZPzGAcuP71r18HTr33/e9//wtf+ML73ve+97///TVfAnS8jD7/+c+3mZs/LULjwx/+8E1vetOLXvSitbc//OEPv/KVrxjgu9/97v/6r/+q+e452G233Rh8RjqeqbOtVj3f+c53WJZudrOb1TqTCAJBYLsiECFku85sxhUERiFAzfmhD31IYKjwWfrI8nfta1+bRzv24qtf/WqnFhclYWExCp38Nf3Jwx4b5P6cxzzmMXjov/qrv+qEMbzqVa+iYx7JRq9pV5er/Pzzz//Sl77kXYmWpVuutuG3TPEDHvAAlzW1xZ73vOeJD25z5qW531z3uted97SfP37BmGUhAS5HEkohguId73hHZ5b7lU+Vo2mR0EIRFqqQw9WnP/1pmvs2sh+8TARve9vb2Ae++c1vthVe7nKXu8pVruKyrJpJUDnyyCNH8uv1rXVOEKhEthAM2naN0Za8wx3uAIELX/h/GAkWIXLIZz7zGdcetOVHpn/xi1/8n//zf+5xj3vsvvvuI19JsSAQBMYjwPT97Gc/u6VCDh0HKBO3c59jpMvc6VY4W9Y62TYf97jH9ZmBWmBVCVQ+f0EgCASB4447rpAS8bWf+tSn+oCgSnhE0cn/8R//0X+6pjlYEwwfx/TSQ3rWTnMYd/fqPOlJT/rxj3/cebTJf7pNSHR48YMvo/v93//9v//7vz/rrLPWtOf08Rxs2sNj3rx3umEZPPOZzzz22GM7+f2fCy0YmnXnHD8xyvVPfOITWF7SiJu4+tVOnoNdfsQjHiFA3ypaqHLd00nz9e1vf7t90SJ89KMf3ceTPHaTm9yEOxyZp5QH0T/90z/ZU/rQ1rCp0i7Fsk7wJW2v9Pzwww93S8E///M/t/nSz3rWs0wfWaLkf/3rXxeJNHI9W5Yg9b9TZ34GgSCwegTOOOMMUVvssfZvqQ1R6sSzlUPBrYktPbR/DzroINGDK/ZBzSP/HOv+/keB0Z5GSQeBILBDIYCycK4oQ2ZquN71rtcZvgL8wl1i44af9b/Cn6qVhrXEv/Jpuc51rtPpHpcYt+tQwbr9iV6n83Qz/7ziFa/IJ/4f/uEfKnF/73vf65qgNmxjLfqPRcYstlddUXizh3AlGm6Opt8awGQPF1towSgsskJAMyPb7W53O7PJRYcu/JKXvORwK6t/6m4rY2F7cTZrd6EKnbUzjW+iPsSKiAbpBFGUyokojt6SBqYLbX1eg/bx7LPPXqj1dSs8c4yERgwNz6s+rdAxIfi0BqWHQBA64v6DconWQLdZZV/xilc85SlPsTgHiuVREAgCSyCAwj/qUY+i8rj97W+P8qgBpRIQyAmCHZ7IgTTRKQjT8sjp4FSqrTiP6J7sTcbbmjlJIkLIJDCmkiCwtREoLEUZA29sYbWd8fiamLCBpz3taWvNHHfarT/xbR/72Mf8xPfM/IAADvKxj30sceWv//qvK5NXX0+ij4CjqBMcwhrgEl4iQb/wojkLLZivfe1rDFksM9x7nI7CDyje+Cl1or0X7cOK5XG9zloyLf+0RSUQlXulleJqc+T5k08+mdGD/1XNrAmOTIUDKDnS5B/KSHOhP7XY5klc+tKX7neGyMQRy0xxMOs/BYth1vwxHAxR55hjjtl7770pQeqLSQSBIDAJArQtXKzvfe97U3lU+iMaEI16xjOewcMWNXPucyLl2Ix2aZRA0nqKFr2VSj73uc9N0qVSSYSQCcFMVUFgqyKAQpV4WdzDjW98484wcIQ4JC5DRUfSebo+P4lJ5ZMLZKSZnJ9uuN+TXw3vpn/7t39bn15t6VacOrRinduuGENWr+tadMFw3fFNcfHuM00HawQyWYvkI7DBmulL3WMa9RarIAOdxdmWL/7WTHYtI66AFhlPrn71q/u0X1veRLj9lp7yTW96U5u/SdIlBKgTBsbUw2nTGDtjMUYqAJH6THxt/4c5GG/93d/9nfLkscohta8nHQSCwNII8P886qijyPm+B4ralHoIGHwsH/awh3W+oGrz3uUud1HGHu9c5UdX4o+ab0J1SYSQpac1LwaB7YNA0d0aDx8YTFI7MCzFq1/9au7vfN8r/WoLrE9aVBymR1t9GantgC868+cRwt6hnm2ZpCsCbEpMAa33C5b6Oc95zsgbe2s9bWLRBeM8K3b/XXfdtXNRUlvt5GlSt2B0esHf/u3fXq5yvbXeRPW0PmyOdoc3ex3e3dnf1oyPF7FN2d9mlvQ1r3lNOkjOSNUrsl9mo3IMxArhYVU7QGZgBuGIZTN2xsgLSzj+THPlPA5GbZzx1C8oqFIYItlb3vKW2mISQSAILI0AYePlL3+5TxXxWK6V2Kocseod4jWf6gRZ89Nm7GgEmKZdGiE0dMLvHUUIqcgnEQR2XARc9l8Gj3to6ZRMYegoDlI1wKv5ZhntL/8ZDFkLIk6CUYIbVeFUaGJElbCoCLzGebQlV0yriiWEshzrw3vHbR4kDX3rvMgYwr/f3USu/Oo8ys+ZCBA7meNb4xIbvZjj1hA/88V5mWMWTH3XMrBC2P2FMs/kzmvJaRPa1ahFZUWtxunrVre6lcAVlp/avRIQ4jviFjmRo13ndhl/s5lStIP/937v9z7+8Y/7JmCtapMkbHwuUiQr27x0qXhvIhTsSFYL807tahn+bW5zm3ZFlafzOBiee2Lfv/e977mj77m/+rP8xLK3snGtP4kgEAQWQsDhi6pwm+zYZn256H73u58Tc15ttA99h1K7Uj0CRFvNy7waxuRHCBmDUsoEge2MgHC04otlkISQTjSwCzHwRky0fXqkvHs2fEKb6wWHfhLIZS972YoUnTqxhF2Co0VRqMihRHHzL62MC4VqyRUTlOvFDMJwLDSFnoYLTbmulxtP5/XC5LlKq6Oj7RTLz4KAqeGRJTi+BYSJwG1pLQPdPh1ODy+Y+q7K3RQphodQSgvujxBimVGx1zJrl2CU4HXmQNXialrZZZddXBrjhqsqs5G0DU2UJ8uG07qqEt2XABnuRjODKPSBMYQrtvWMHV9Nl5Z4V+dZYE499VQbrb7OGkaSBxSvMzEzwsqrlcYACSTGKCaEgbS9opegRYEq2r7W0yb6HIxGxawLobEY/uz//3MzD0IE2/bdpINAEFgCASoSVEVclr+RrxftHg1Lx9nS60QXJmsVupdiZG3DxRa7DGS4rjwNAkFgKyJAeKhCCLapHQJWA38gh7N+x8G9FKPZpcOmJaVU9m7rToNlKaHkNR/9Ouyww4gfWuTf1TG5tO120tSrn/zkJ2WifczBIljUQFfqww4vfelLRYm0H2ogEWHmNC12tn+PVq2ZMdr3Rtrr0uujeQksF/ZoQHU078VNnm9Erhwwg7Tatas++E2w7Bvra4GZiRUXTH0Ld84CI8zR9SyEVd8tef7zn98/82r5aRPFu89pak32a8aU2xFYcNYSa4+GnnmtFMM0c2Aje7uHzWKg3T/44IOl8egC/ZUhS8wMSSKoMA7g5qtY0mnXuiWfsC2w+K1P8BUp/Q1veIMrdMWi2MIkBNab4olhixkXEygnchIpe9E973lPT4kJZAzbbWb4il352te+1rTOi+0pHAznKxxMGaM9VahEB438DAJBYBIEbG0qPGqmmTdM9JugK3QWUC6wZ/aJFZWE3e1KcQbMSchUhJD+FCQnCOxYCOBC+I0YM1ajoyzhr18UHjvttNM8UPD6aBYvqc73xbBl2KlOPoHkT/7kTxZlNzXhs8064F2BdNggrJ5bTQkhmEVPWyEEI4urpnWWPyCE0ObimRbybRVB0XqezANkK+Y7V9zA+OUvf7l+kcqcUlFjUjsRxsOjG7Ng2hqqeEnaWTcJRAdcScn2wstopi8WqwWb25577vme97yHGfDJT34yu5AveZGB3edb5ZZyQlsV3IdIcaRxfHw7upq2F4g0rjYekGCtalKK070y6PX1NUoYO4uiyuHwoAc9yIzTOBQhxBcYyVR2hyXBGGLIrp4jXbBq3v/+9++zJiox9a63crv0wPVWk3Mwa4RMqg0C2waBcpkVgtaqCAdGR99HwKCE6kSH1leKMONwp6yxo2v+com4Yy2HW94KAtsHAR4UlB/GwwcUqWoHhhvDJsqZp0TByuPSFGB8aAUYb9Ei9/PlYNp4zM907vJ05h8ZCcmjmHeJEF6tlFGPhEeYpPYtXS3+6Pi5Nr+TRj3HfHHPAOufe7f6nu6darfuT3HDhx56aNt/XyxZNDh4xQXT1i9dLBLrHBCiXQKq/07lmQezpUV8xUyzgVh1rBPEXfHWzG7MAiQKw2RGq++yqChJUMGydwbop7u/2EaE+w+b/tSG9Ve+8531foWT51ANmH3V6r/VLmGX+fQnmZ9mwezIIT6J3LCv268H1J5gR0ggPNA4Z84UUWrJloOpmUkEgSCwFggwTdO1qZmXdT06BxpC2cRb0vTxqJy3kYtG0vE6icNzLCED05FHQWD7I4B7KJ5OhkqP22Gy+SxRcA6ggGaVaA1CSGuOOOWUU7iseLGTL4fhhXlknlTTb6t6+GAHSS+1gFAWaRzSPA36sBBS61mLxDzyvRZtFa5x9TU7ogghLEtkrVKbC3zFMCxU84oLplMbLR2LhAOvlWA7ZZb7qWb3E3Aws6rdKdnR2HUu1Z3XxA1ucAMIELMFkJDVb3GLW8xT87url1gysx6xLv5mPpqZSagWmzHT+1F5VhduYDNf7Gfe9ra39e2Xdtf0y8hhEimMBfnHDBascBh20N3vfvdqvZEvEGtmDR6RWGY+6mS2HExnUjol8zMIBIFVIoCSlINyTD2OEiHsqAH/0hX3Jn2EmhdSJs7sQ4SQmbAkMwjsKAggJXxGy2gXYpXKK/XmXBJC5bxJJhhZ1hUijcD0mu8VnA0XcLHI83isPu5q4ygiX6xq6zxTtM6U0EVT238xOYsiYL4IjeUtE8oDp2MZW7TC4fLESyEWypATWgl2+K2RT7kVceHDr3MfmiemrliVpSvqiczsNgXufxSE7WJe8fW1KODUZ3AYWbOtMWajwaeEy1MQVCGEFEdUE5w6sq2Fik3FwSzUaAoHgSAwgAAvLISOzXZNyX6nAxFCOoDkZxDYsRBwD0YJPeeS0Y+gQIyGfUiKo5RgkvaWIepnsadw7Nfppg5X+/G2H4/yTI8d9pkSz+pi0+KX1a9wII6lX3janKmsE9P2asXaHEIuH1OMXUKIyELTVCpfccG0fXBFQbHCWSfVtaktsJo0FaAVUkKS+pLDeMMLH0WuSrwBselLCzMLDWTeei6VUFL6W6jCMYULILYV06gIEAlfBxIosoGbaEy3UyYIBIEBBKp+YaBMeYT4czd1RfZI2ohMtTrBFeufVyAxIfOQSX4Q2IYIuD+Uj4obb4SGu5/KCDlTlYAQdoY+94M1LPbW/hc5vFsdpbxbZRXsGlpWwlvdW9WGNeMLtb7ffvvV0N4xEBePHRUKRq/lKbk5ySCXLsvq6HoZW/xR6g8r1zFbhxxyCPZ0/B9deMGqdmM7JcpnzktgOpU/Tx7ILDrA4QXTqa0IwJ2rCzplcMNWVL0PgG6et5KF1ynW/0nXTsJhY5n5fZuyqin+V/RV0KKq1C8qfTXfcOz3sJNjb5bO8FTsLOlOybX4WQAx0rLC+VLaRMyYa9GWOqfiYNaoe6k2CGwPBNDwcm8+r1dGznmD4mtK6cBuPEYCKb6s/LUmUcrEEjJvUpIfBLYhAhgpjv74DAHH2A4XhtaAkJnfF8PH4/4Vnkm/qqMUPq98XQTL+KIXveiud71rueyVr1Sr4SZO+M7gPLfymXBXjx0BsvUjJNi1N7/5zXy0nve855FzOi8aHV5Kl+Zd7lHKo84Ep/GeLd6iFW4/idBpd0v/NHFHHXWUCGyjeOQjH0nXvqJP8MzxDi+YzitFAHYX5MyTz5defNrSzbaORo5h3jWzFo84b/fDuk3LI/dOCkXw15eXigFNSIOQ8Te+8Y0Wg4BLC7L0geHOirKQfOyi06v2pwK+Yo5j5pxG6HXlWt9a2JZfTdpSF4PBgYpUtpp6lnu3xMSbEeYpUpBRu8trWIxfrqFpOZjl+pC3gsCOgwA7s8E6wSkBZ47aSeriO1elUya2Bdjz3crt1KOQavNLsCUSGiGkhSXpIBAEVkYAh1E0ndg+QbfiUItTPpXnzO+L4e3KtTm00TSjHfMrnTT9ilaLjUIBzjwidMXyci2V30af0yJ76sqdytng8NwDKNAWQ9kyiO0w+h47KKN7Ql/ykpf4soS/vs6YBCJcxLdgh4UQBFTTbVs7bBqkr3zlK32BHgK4bagu7RM8vGBahOuNCHjudp3UMq6ILddSsWaUWXallU8ZWi3lMxReFMVUQhc6Fyqo5LTTTrM4mXfcqOYrH74q45TFWxdRVg2+UOECN2UG1gkXBTUQzyxUQgj7gM9lCNTWeV1qBeza7aUT1q3VzgWu9WxcurZFXyxf1yGEoAmkOyqJvni/aJ0zy0/LwcxsIplBIAhUBHz0kxThs13O63r41qdOdloeN4+7glyBmi+B/KKQqF+bSZhBIuhKnBT9w7ctOTIdd6yRQKVYENgOCGBx0A4jEW9KckBfsFZikV3sUxi7/iB9gFxsLlaP3aPzFOdXHKsIGP7QMroW3J7MEt+MacPk0bKTSXx0wh+GslaCvWPQIBQhdu4vmukYgy1TM7MGkcmL5By3/fgmA424+Ll6b0+tUwIj5T+y2/n0e1sm6RYBrDYmWw7RVChIjU1vy4xPDyyYthI8d7kRgYQw8zCzMByQlHPVMsAGYnJ1r/gOyfcFD8dh32hTHAUNx1Jxn5UFfMc73pHLAf+r0gdLF5+NIS53HrQdI2Bol4Ss/Ate8AJis/Vc7IRvfetbrVUdY+4r3ozti6tM4xJEZ4lxaj0YV1nn+NfrXrYTYcLzcOakjK9wZsnJOZiZrSQzCASBigBDLqrioOeGUDNLwjdJn/KUp/B0uMtd7oLsdP4OOOAAxLnjO43uuUFxn332KR7XnQqX+UkHlr8gEAR2HATwOk94whOKAwwSwxrAcWVg+NzxX/7ylyMuXLk6xTwSgE6qUdvDH/5wccByShmyBycZ3i8eCdsgOXDD6LxO6sBEFh02mYGw0SlQfpJD2D34TWEEWZYJOXg10s7Mwlrhb4Z60tbMLJDMDgLWQzF2mWJyHfekToFFfw4smLaqE0880dRbPOXbFO2jkiYJmG6zWVaOw08sk1co52phX9Njw6k/a8JasqJw0m5BkGmlUfURgMkVtQyBhAHQ1/oIyTWTlGt3gEJh4o11W5Z0aV2+9cxE4Lsf9ZVJEmQehhpoOOAnqXDRSgyQF2UZ4OSjq50p85LtWQFJIgisAwJ0NwgaBVM9oDVKBXPQQQfZ8vP+qHv65IhikYNWJYz9zmti5J9D3N+v9atIThAIAkGgRQC18g0ybBxmrs2fKl0+RD1J5aqioeFPgg5O1b1tXA/+nvNVOYSEgjDHTzLYMQuGkUG77Ay04zMbLR+zF9GBQVeA7NERWuS7y6V/TCpcJJz6rv4whjhxCbRtWyeccIIDVeGaadnI5I0mYkSiFcl8o/B3fvX3/ve/f/LVxXmMxEWgalusvVqHRJHTzAjQJh9d7f+KHEwtmUQQCAJTIYBUip8kVKAzq6mzUInhkwL1GPlXhJC4Y80TApMfBILA/0NAAPfjHvc438+mIp0cFPQRe0c52neqWbQtHj5HH300fTkteD9SedHapipvgHBz3xRfOOG/Ym9e97rX0b5PVf/S9TgDxIGUUBDR4TyXlg4F6fRhxQXDQCHIm1VB6E4n0KhU5aTkP8AWwezAL4jbgHAOjwRylC9aSLtci9vVzMuvTjrpJAU4hhWfIpEkauOTUPy4ShP+C1s/8MADXeamPyXTstElwphXJNpvDDMbqtafYJVpVxfzi9FZHkT9tsXaz3VIWKXkHxIp09C0o6ud5+cmztVOH/gYcy2cRBAIAlMhgAwyC4v6cAWWnb50tRRDjCrUkVOdFHoSIWTp6ciLQWAHQoBjPV+dpz71qZizCYeNIL7hDW8Q4EtsWGW1OLljjz1WCAEXr9XLM6vsTH2dsKE/3H5e+9rXuoiM0wuNPheje9/73sKsa7ENSbAAHHPMMZomDBAy/V+oGzh1dxyL05j5Vn/BgML64U3nRSeZ4Aoh44SKma8z0ZxxxhnCltxzYJEcd9xxYpYEY3AqKOHgMnG0vnpZZBhCi6c0cGrD7Io2sRKKfKJdoUf6g/3txDmIKRLIRJKhJlzN2TxzCCMz9dlAdF5c1oRH+8jWSzFjJ4uaF2jMjLNaqLZ5hdeCg5nXVvKDQBBoERAZwm6M6rpyELVsH41M82X1rttlqEtGvjKmWISQMSilTBDY0RGgHOXNUuQQ3+iYCg7XsFJsL30hbO0GCYQbyW/8xm8Is1s7Lqo2NzKB1nOwEebLSYwhm6YZc0wj5XUMGcZXt0dWNXkxERfuCRAOxMdJNIK47UX13+4VIEt4fWbf+gvGdy3JPKeccor1w/jgagQCyTzFP7aYwEbeIDa4kNfNyH/wB3/AMAIxaXKFSHreBf60zqQjtMnFL66cPvfcczlfaavYTNTj4OSE8KxnPWvmLVjOZrLr9773PV1afzmEBOL6YL199rOfXb+0MxPPyTMNttwyx8oE4Xe84x1HHnkkNCZvqFS4RhzMGvU21QaB7YeAEE2xHDwabPZF5RD71+lPSeFCwkVPihWQ1JX8BYEgEARGIiCO+YgjjqA0HVl+fYoxp2D0MaPr09zIVoRc076zFbTl6fj51KLLGOhVeui21S6UniQUBO/uygEs7HDTdcFolIjoIBR+TSfnsrWBF7HIpEqWAde2lM/UeF1gpRxh9O5GEwqCgy81KOzjm8Qhf1z7yHvYa0aSxz/+8VyqyCfz7jyoHRCXQhgQSlRz1ieBIXjnO985LypmTftg7RURjr1IGJXts3bNkbJYvdwnUads7dpKzUEgCAwggJByWv7EJz4xUKbziK7K3TCdgLpOmfrTHh/5V2JCLuTNFcSUPA4CQSAIBIHFEaB2os4/9NBDO/r+973vfeUjiewhTBCLV7yqN5B+QeHuLlOLC5FYJxZ1xPIitt6HAn2ygzgxM6hjVV1c6mWyx2GHHcZDbO2+J7hUvzbpS6xJVJsuvhOh4VNl9R7kybsrdOdd73rX/e9///I9xMnrT4VBIAhsHgTGyxSlZNyxNs/cpSdBIAhsHwTw+hTzuPyOBGKEQh0ooT3dkO+vt6EgHOGWkEBYHgRpfPCDH8Tu90e3IVPoPNMfF0wJvtyQDmy5RnktshExZLkmYe0kELBY7T54Hwlky62QdDgIrAMCF1mHNtJEEAgCQWBHQ0AwA2+lgVFzg5kZpTDwyuofdUJB9ttvv0XrJIFgW0VRexF/2Qn1XrS2qcpzLhITcuc733lif+Wp+pd6gkAQCAJBoIdAhJAeJMkIAkEgCKwlAq4SFi4iXKEKIcwm/OY5zYtcF0Nyy1vekmeRUAHeMj7OrZjLtXbZZRf6fldsCWL2vQXR5D6rt5AhggeOQAuX1RqcawZcy1uvph0zXLdO8SR+2cte5oIv5anPRYqPeXEdyrg1ax1aSRNBIAgEgSAwIQIRQiYEM1UFgSAQBFZGwKVSl770pX0Uol7kxZ7gNicyhhALxgoXsYsC5Ct16qmnCgr05wN5173udV01+/SnP50w4EZXN5zc9773He9MxYIhHrF8FUQXXdvlb+W+zi/hWrMqRM0vlSdBIAgEgSAQBGYjkJiQ2bgkNwgEgSCwFgi4QNYtTOJ0+59GcamIq0tYGHxTz81O97znPT/0oQ/51Ldu8N33AW9hD2wR4onlMGswlYzvoRvi3UI7vvyKJfliCWtZsVgKBIEgEASCQBCYiUCEkJmwJDMIBIEgMD0CbB2uZOV85RMZ/S8qcsQ655xzrn/96/O28jFvgoqSLBj6wRjiiiEfu3BHLUuIHFaInXbaaWQXfaukfBVkZPkxxXw9sFpyxpRPmSAQBIJAEAgCLQJxx2rRSDoIBIEgsIYIiJ8mhIj36LtRES3Ee2j73e9+t6c+MCLGmkwiSkSmz1/4opxvybF+lI/Wux5XKPaYvrKZcMQqoSBjyo8sI7B+oYiUkdWmWBAIAkEgCOwgCMQSsoNMdIYZBILABiPApcqlUq4r3XPPPftdEa1e5A3f8uOLVYwMxTaisBj03XffXcKHR3ynT2LfffcdczNVJxSk3+7SOYSQpd/Ni0EgCASBIBAEIoRkDQSBIBAE1hwBEojvhftutDupZl4j68vibsfSj4c//OEuwpKothFX/RbDiMxSzGdGfHp8TKcZKzhicQOb/G/9P7M4ZrwpEwSCQBAIAlsFgQghW2Wm0s8gEAS2KgIuszryyCNdh4VxnymBGNhJJ52kmDD0u93tbqWMEHb39nrkFqwa/lGK8cXaeeedtyoc6XcQCAJBIAgEgV/7tQghWQVBIAgEgTVEQEjGU5/6VM5UYs07QRTixUVr8Jj68Y9/XJysbnOb27j6tvTm61//OiGE0WPvvfcuOaSUEjdys5vdLDdTreGcpeogEASCQBBYewQSmL72GKeFIBAEdlQESCBHHHGE22x9zLvzZUCGDhHqT3rSk0gm3/jGN4oQIiCkmkr6Rg8BIWeeeSbxY5999vH03HPPvetd77qjQptxB4EgEASCwNZGIELI1p6/9D4IBIFNi0AJCieE6KHAjH4/H/zgB5fQjjPOOOMjH/mID6W7n7cUq0YP3wKvRg+2EcV8p/z1r3/9brvt9pjHPKZf51rkiCfxiZKXvOQleutbisw1j3zkI/tXDK9F06kzCASBIBAEtisCEUK268xmXEEgCGwkAj7x8eIXv9h1WAOdECJCwMDil/tzfRPdZ0BK+bPPPrtcxVt9seS7MosYcNGLXvR2t7vdgQce2HHuGmhoNY90z3cS//Iv//IVr3gF8UOEvQ+6E0We97znRQ5ZDbB5NwgEgSCwgyNwIQfMDg5Bhh8EgkAQ2BEQ+NnPfkaWYNN4wxve4LvsI4fsPi6fTeQnRuq42MUu5q3jjz/+0EMPfctb3rL//vuPrCTFgkAQCAJBYNsjMF6mKCUTmL7tl0QGGASCQBD4vwj88pe/9K1D9pPyzfWRoHAAY6jZa6+9igTiLUH2oud9VJFUM7KSFAsCQSAIBIEg0EEg7lgdQPIzCASBILA9EeA99cIXvnChsRFaCCFeufa1r11fFJTim+4+pPjNb36z/+n3WiyJIBAEgkAQCAIDCEQIGQAnj4JAEAgC2wEBhu/zzz9fnInQ9gtf+ML77bffyFGxdbjFS+H26+xq8JOb1re//e0IISORTLEgEASCQBDoIBB3rA4g+RkEgkAQ2G4IuPaX2PC2t71NFAfzheF95zvfudOd7iR/4E8BEoh7ugSQ1Bu6vMuhy89zzjmHnWS7IZXxBIEgEASCwHohEEvIeiGddoJAEAgCG4cAIeRrX/uaC39FdOjFpS99aUHqf/ZnfzbQo4tf/OKK9QuwhORerD4syQkCQSAIBIGFEIgQshBcKRwEgkAQ2JIInHfeeaeffvoee+xxtatdzQBEme+7774rjsQHFhk9XMjLHlILX3DBBSwkIkNIKTUziSAQBIJAEAgCCyEQd6yF4ErhIBAEgsCWREAIx8knn3yTm9zkcpe73PgBsHhc4xrXUN5nT+pbbtny8zrXuc4Vr3jFmplEEAgCQSAIBIGFEIgQshBcKRwEgkAQ2JIInHTSSfrtpt0SYj4yJoQBxCtePOuss+qwveuThdy6dtppp5qZRBAIAkEgCASBMQjUz4nEHWsMXCkTBIJAENjCCPgwCF+s3XbbzUfZXXjFF2t8TMjv/uqPFeWggw4qnwr5/Oc//5nPfEZISSJDtvCaSNeDQBAIAhuNQL6YvtEzkPaDQBAIAmuMgMt5H/jAB17+8pffZ5997nCHOzBuuBRrZJtUVieccMJznvOc4447TkjJd7/73Uc/+tFsID6gfqlLXWpkJSkWBIJAEAgC2x6BauIYHmktFkvIMFB5GgSCQBDY8gj8/Oc/R/T/67/+yxW9N7vZzcZLIEau8P3udz/h6c985jN33XVXQeo3v/nNDz300EggW35ZZABBIAgEgQ1FIJaQDYU/jQeBIBAEgkAQCAJBIAgEga2PQDVxDA+lFktg+jBQeRoEgkAQCAJBIAgEgSAQBILAxAhECJkY0FQXBIJAEAgCQSAIBIEgEASCwDACEUKG8cnTIBAEgkAQCAJBIAgEgSAQBCZGIELIxICmuiAQBIJAEAgCQSAIBIEgEASGEYgQMoxPngaBIBAEgkAQCAJBIAgEgSAwMQIRQiYGNNUFgSAQBIJAEAgCQSAIBIEgMIxAhJBhfPI0CASBIBAEgkAQCAJBIAgEgYkRiBAyMaCpLggEgSAQBIJAEAgCQSAIBIFhBCKEDOOTp0EgCASBIBAEgkAQCAJBIAhMjECEkIkBTXVBIAgEgSAQBIJAEAgCQSAIDCMQIWQYnzwNAkEgCASBIBAEgkAQCAJBYGIEIoRMDGiqCwJBIAgEgSAQBIJAEAgCQWAYgQghw/jkaRAIAkEgCASBIBAEgkAQCAITIxAhZGJAU10QCAJBIAgEgSAQBIJAEAgCwwhECBnGJ0+DQBAIAkEgCASBIBAEgkAQmBiBCCETA5rqgkAQCAJBIAgEgSAQBIJAEBhGIELIMD55GgSCQBAIAkEgCASBIBAEgsDECEQImRjQVBcEgkAQCAJBIAgEgSAQBILAMAIRQobxydMgEASCQBAIAkEgCASBIBAEJkYgQsjEgKa6IBAEgkAQCAJBIAgEgSAQBIYRiBAyjE+eBoEgEASCQBAIAkEgCASBIDAxAhFCJgY01QWBIBAEgkAQCAJBIAgEgSAwjECEkGF88jQIBIEgEASCQBAIAkEgCASBiRGIEDIxoKkuCASBIBAEgkAQCAJBIAgEgWEEIoQM45OnQSAIBIEgEASCQBAIAkEgCEyMQISQiQFNdUEgCASBIBAEgkAQCAJBIAgMIxAhZBifPA0CQSAIBIEgEASCQBAIAkFgYgQihEwMaKoLAkEgCASBIBAEgkAQCAJBYBiBCCHD+ORpEAgCQSAIBIEgEASCQBAIAhMjECFkYkBTXRAIAkEgCASBIBAEgkAQ2KEQ+O///u8x422LRQgZg1jKBIEgEASCQBAIAkEgCASBIDAZAhFCJoMyFQWBIBAEgkAQCAJBIAgEgSAwBoEIIWNQSpkgEASCQBAIAkEgCASBIBAEJkMgQshkUKaiIBAEgkAQCAJBIAgEgSAQBMYgECFkDEopEwSCQBAIAkEgCASBIBAEgsBkCEQImQzKVBQEgkAQCAJBIAgEgSAQBILAGAQihIxBKWWCQBAIAkEgCASBIBAEgkAQmAyBCCGTQZmKgkAQCAJBIAgEgSAQBIJAEBiDQISQMSilTBAIAkEgCASBIBAEgkAQCAKTIRAhZDIoU1EQCAJBIAgEgSAQBIJAEAgCYxCIEDIGpZQJAkEgCASBIBAEgkAQCAJBYDIEIoRMBmUqCgJBIAgEgSAQBIJAEAgCQWAMAhFCxqCUMkEgCASBIBAEgkAQCAJBIAhMhkCEkMmgTEVBIAgEgSAQBIJAEAgCQSAIjEEgQsgYlFImCASBIBAEgkAQCAJBIAgEgckQiBAyGZSpKAgEgSAQBIJAEAgCQSAIBIExCEQIGYNSygSBIBAEgkAQCAJBIAgEgSAwGQIRQiaDMhUFgSAQBIJAEAgCQSAIBIEgMAaBCCFjUEqZIBAEgkAQCAJBIAgEgSAQBCZDIELIZFCmoiAQBIJAEAgCQSAIBIEgEATGIBAhZAxKKRMEgkAQCAJBIAgEgSAQBILAZAhECJkMylQUBIJAEAgCQSAIBIEgEASCwBgEIoSMQSllgkAQCAJBIAgEgSAQBIJAEJgMgemFkJ/85CeHHHLIhS50oQ9/+MOr7OZ3vvOdO/3qT2KVVfVfP+uss44++mi97T9Kzsc+9rHLXOYyd7vb3c477zxo/OAHP3jwgx+89957f+lLX1oLcM4///zjjjtuuVl+85vfbLE95jGP+elPf7oWfVu3Oi3Ft7/97V/+8pfXrcXJG7LlzcXhhx8+ec1LV3j88cfrkv+lhs7PpasdeHFNqdZAu3kUBIJAEAgCQWBrITC9ELIlxo+ZPvDAAz/72c9uid6ufyfPOOMMgsf1r3/9S13qUlr/7ne/e+aZZ17nOte50pWuNHlnvvjFL+6///4f/ehHS1sL1f/f//3fX/jCF7yyyy67XPziF1/o3U1VGOd63/ve91WvetXlL3/5TdWxdCYIBIEgEASCQBAIAmuBwEXWotLNX+cvfvGLn//855u/nxvSwwsuuODUU0/V9K677nrRi15U4lrXutbq7VrzxsIk9fGPf/yggw5aQopgQvnc5z6n5hvf+Mbz6t8S+d/4xjdOP/10pqclJLEtMcCN6uQDf/W3Ua2n3SAQBIJAEAgCQWAeAjuoJWQeHMmHwI9+9COWEIkb3vCG6wBIsUctJ0Wce+65X/nKV3bfffdrXOMa69DVtWuCJMYiVKW+tWsoNQeBIBAEgkAQCAJBYDMgsB5CCBXvTW96U57iWMbnPOc5N7jBDXhp77vvvscee+wSIRk8cD71qU894hGPuPa1r62e2972ti996UvxzR00f/azn731rW+9wx3uoMwVrnAFvi4f/OAHf/nLXyqmJ/qgkpe97GWXvOQlRZ1whvE3M/6k4+ZexvKsZz3rAx/4wK1vfWuBEw960IPOPvvs0jpW8klPelIZ4J577mmwhtzp2PifRnrKKafouVb22GOPN73pTaw3n/70p3lJvfCFLyz1nHzyyTvvvLOfkHzRi14EE8Diyz2Vc8IJJ9z5znf2uj8JgICl0wF9fuITn+hFKD3qUY/62q/+CCF77bWXmhVmNXra056mBoEi9d0ylcYIXuOdOdISWKJvGtUTHVPJwQcfrIVST+m81v3kkWVcRleb6CTKvHtdP/X2Gc94BicxI1XJNa95zStf+cqlvCk20UBTTHP3ute96rzXCtuq9H/mTCnD0asgo4zO95fZmLYE1bBv3Oc+95Gos2nlWD+a0KWvfvWrv/u7v3vAAQdIl2Cq973vfbWrEgxTumEujLTmlygdHXvXu95VM824GloY7Ys3vvGNd7/73aGhMNxsHCu/NF1eLDtlxXVSW6mJup0701oLlIQ+gM4+ndcBxdoyutru1lpbZ9Y6G3/expwZBKKqOhcwAa9dUBuqiTHbuaUz7bTWSuYlvPje976XAVAHIDNv1G0fbDTkZWZX57WS/CAQBIJAEAgCmxcB5/G0fz/+8Y8f/ehHG/CJJ55Yaj7ttNNucpP/j70zj7dyiv7/t4FGpUGSklCalNCgUUhUMkQ0qChzgwyloqQyZohMGUKSqUgyNA+KBoWUqESaU0QJGX5vre9vf7fnDPfce8+5955zP+eP89pnP/vZe+3385xz1nrWWnvXRs1C0eSh9aADLwq06dmzJ+0jCfDDDz+0PPCiYG1Q+9AqDjnkEAKErr322hEjRqDh0Q9K3tatW10/lKmhvkmTJhgMN998M+0565lnnqGHd955p1+/fkcccQTKHwYJGhIqXehY1huzoB86sY82F6ZTuXJl9Dmm0qtXrz179nB0zpw5jFKyZMnLLrsMpbxDhw6MyBCc4gSLvbB//36kpQdGd6+HH374rbfe4uO0adOsKywTPo4bN+66666zZrfffju2yvbt2xHDnegKCEbPdi4o3n33XWR2RynUr19/+PDhFMiZ+emnn2jJO+WGDRui/diJc+fO5Zm9fxZlrq9/CWiJkUk9WjKI/MbdunUzYpMnT/brUSuJSrIhAu9haWBgoJPRQ9++fVHpOIVu+/Tp4/dJGYbcM0zW9WlXKtDMl5/hHn300QB82gPZJI99LDR+bhVMJq4R94YbFC8TLiD6Wbp0Kbeiq6exGQlOWgpGktx9V4nbBCuRs4YMGeKmxgXiMrkL574FZ5xxBjew+7JwxSFgXZHNf+utt9KPtaEZXxk++jN1g/oF7mrubVryRbO7ncvx2muvUeO+LLRHBsC6/u2bCAeMUic2xiQxU9A+//zzEZLvlP04+PcqV+S+++6jDcLTiZMTo3T37t0MFOmLCTRGd+jsIz8q9MNPB8PZ95T7mbvan2AsX2d3v9WtWxeREAzJgRD41fK7tbI7ka8b83U/F4F7lXsDwRCV3zra8LsKOv/y0ZvNiENRfkhDBVCNCIiACIiACMSXAH/rsbx4tO1e/xNfCegtkhGCKsBfKUH8NuKWLVtat26N+sUfbSQZQg0DTAL+gznRKcROPUUfRaOiK1RwFHGGu+uuu6yGSh6Zoxk4zc9UFv+fO3QskyqsEULnY8aMgbWTHNcB+gQvNx2OmoqPloaa5VrGWMDYQCPB2vnggw+YI5oWWg4qDjqir6dSWaZMGaw7dCnmaJ1DgLkjJFrRxo0bkYQeFi5ciHj+uSi7AEGtIR+aq8Y9gW3DiJzIa8CAAfRDh6bvYtLYtVu1ahX9cNaDDz5o8+IdVZhTzP4xGbAKsA24vnXq1HFiIAwqqS8D3gYm5awIOzf0HQjQQCHDgGQuXFZ0eu6EA5L+Dzo6p1CPokYNyuXixYv5yMtm7a47zdD/sII4l2W1aAAcpLryyis5kRnZ0A7+e++9x0Qgww3DXYcMM2bMiH0sWpqhhSMFP5tJhfB2dUxs2mAx4rJzxoPJ4L+boeJT4krZ3P2zuFeRELuaSfHCZKWNr8ozkeeff55Kd+dbz3i6QGEjwgcabqa+GK5s33HacBXok3qGw9JDF6dz7klrSTOeMtAMc9r1zzcXkvBfsmSJNTNE/hfKfhz8qwZ2+uHm4WK5zjHtGI7OqbFvNB/9fqgPa4TQzGFB8tDvaYxfZ+vc/1nj28GXkdueXxv36MQE9t/tBvMtPcTAA8aJ3Ce4mGhs3yAg+EbpzJkzaePMeDdBd0H9UVQWAREQAREQgSwjwB9ZLC/UBvfKinAs/vJ58W/KOqpoEvaxbNmyPHxF20B7sJo03/lX5ikj0Sn4MZwCmj9/frR8nsKiSdgCshs2bEBFo4bQlAIFCli3xDzQrHjx4itWrEhzoDQboKkTekEQhbXkAk+ZMoXsah752/Np6jnaokULHvESdEHsR5p9+g3AwvLBKPpEWKHTMEciXggaQZedP38+c0cRoT1KHpNFhS1UqBBRT8zROgEp2iGL6mIVHHnkkUhCD6eeeirKHxYFbh+aEbrz+OOPo9LxyP/yyy+nh7x58yLwLbfcYp0wSr58+Shv27aNQKDy5csTumZBX2hanHXDDTfYUk68438AOLLR2E7HagI1EyHg5O677zYxeIePk4GWhGbRDOvCMuDt3MA7E3zsscegQfgcU2AuXFaMLhQva3nMMcdQwN4AF3oqWinaMM14MWvuFkwdMyZphg2AVBhCzZs3pwFwkApdmRpCepigDx+NEMEgg4TMEXQYErGPxY1hl55oMbR/kwrhuXnohHnxzosRCcpCgKJFi1pN4J1rwS3HLLAD7RBeFExBXAdYni7kD9mQkHomhS3Bar/YNoQ2MU07i4ngbjKnFjcPldwqjM7sXBsy4/mmsNqYi5oLCMNHbgAcXO3ateOi0yc1jMhHaPuNubJEAHY88HL9M5fevXtjuNIDP0O0R8nmHRnoxE7nx4EQMr6tyEYNX3waAwdjiYtlbbhjL730UuaCweCiMQNfTGsZ+s5XA8vBRGLQwPc0xq8zdzi2ROBnjY/cliZ26LhWgz3GagrY3l27dnXrECAGtwfOJc4lNJSWXEo4M1/7stu5tMG84R7GP2k1/MIgMAYtQKxG7yIgAiIgAiKQFASyzghBU7QcA8eFR/iuHEuB0A4e3NaoUYN/er89Cjo5J6holuKMKYI9QKD/oYce6jfr3r0768CiuPiVGSujkfvCoxrSM1qFs0CsW7QcNEKnucY+FgkDPPpFm2ncuLE7C30Fs42Pxx57rGmrKCJMFruOR6ouKYIGIEJ9eeGFFyDjTkcMLBYUGluECgURxQ4lEr+BU/5ozBSYCAUHmcV5+Ug8OjaJ0z7R9f2z6BMgpD0wio2ILoVijRKMwucUUAxI2iCwmTe0tEvmxrJzA+/YD4iKsmXxP3aUHuwj0pKVTs9ohGje2IE+ChrbR6fxIyoQwIv3BjUdBY42pNygy5omxxN6jiK2D582qKo0xkEU+1hmCTDfgFSmZTosOAcwzIywzS7wjpmHQwllHaQcwn7gQjBxrh32IXYIlZBfvnw5Sjk5IXxkUEwyHq5XqlTJ7407h0OuhkGhgQsIK9qp8swU24nH7a5ZoIAOzfXFJHY6NA0wruz+dI3Jp6IZIgX0Y+wNhGcIs6nM+UZk1Lx582Brp3Pz853i/uEjuEgWoplZm65/7nOGuPfee50YgS+maxkoIJL/1eBCYJu572mMX2emhtXK5jmkJPn98w2if78mUD7ooIOwppC8Xr16/iHMXTJDXA2XqXr16tyK2PDcqDxe4hCVY8eOJZjNGWOuvQoiIAIiIAIikFwE/vcRaRYIjX6QgTVYfcEIb0DfQhHhiTh/5P4h02XRI6k0dRPdy9eS/caZLwfmgjFAbjrBS2RoBPQtXA0Mh+7II/bAoUhi8JiTh/qohvhAnLJujRmXAs+SrSuAkESBosbz0UBvQMA1hD5t3iEelqOh0gYNiQfMFExBZAhfG6MeaDzbppnLSudhOaqPqbaoiehePNTnRePAy7RJq8QmRLHmeTMTcc3MPYICapXMFPHcWK6ZX0ArtSijVq1aOa3dGhgcy0pHKixP9EhTW/0eAmUUVlRArhe5QLzwqBAthhFrT/R5Nk8+PfPleXMAvusn9rHwC2Et0BWqqjsdS8bcI+jQVolO7wi7Zn4BSdD4UUa5FuDiatItgViIDUlufswGZoSmzp0Q2MuF4dCq+eJwq3A/kOpA8gMiWf+oubiqCNxq27YtMmBF4AY5/fTTsdyifH3MFgqYBHSIIUon1jMXznwpDAoxfzp8F7BFsXm4S7Gv8J8gA9FxODDxd+Hs4iN6PIfsLC4r7QM2j9+hKwe+mK4+UAiVnHEhad/TGL/OmEZY8tiBeAj9/vlCITm/Bn5lpDJmKpT4leDryQoKfCudbNgkOJf4FuPk5IXlxqXBQcRFj+I2jDSQ6kVABERABEQgpxHIOiMk8zO3QBoUGv6qo/TGU8MoRxNxCMHQqFC7hw4dmvn+6QrnAzqHr75bt/YE3Smv9gSdZ/a+zwelk423id0yTdFONA0GbR7bDCXVtH/if7AHwgpszTiEkoQtYWaDnRW2faASVZ7H9shvcUfuKK4YFG60TFOUbaZuLNfML9AG2xLNm2Z+vStjHWFX8EwajdBVRi8wcdwmpJcQVMZDZV64kkilQBN18zV7L2w/3IExjoXqj6cCH44ZftYbJoFF45hdh0bOlXKGWdgRqeQKYuPRG5qoCXDHHXdggJnXC98IBGBOhI/TiYliIk8DA8NJywSbNWvm+52wZsmOwCbBsCffACy8GI6Eb+oD9kxANjeQq0f5djo094BFfBFY6Br4BWeyMgpZSVhBzz33HDIQScgLY4b4N5LmubgY20wNI8Q/PTPlUMlxEDnfZrq+zgAMGKs8auHm4bsZRULcGlOnTr3//vuJYLRmzJd0LxxTzhdEPb4+DLMXX3yR5BOuLytG8OJOwBwlEi+KlRhlaB0SAREQAREQgRxCIOvCsTI/Yf7s+asmTgPlBlU79GX56E4NyvyIMfaAYDykR5OLlIqagYhtglt4+QIwXx51o0C73A90WRoQSuSrI2i0RNfw8NiiOChwIk/Q+/fvT2Mil1CbqEFHRBULDEED7AQUPpefwEN3NGkCwNBf7SzUZcwtyqEvtjhEQ6ITU+UpB+woy0Dg6btpgXTO83s3FieGvlDXeKh8AMZ/aNDS3F+MwoNhpsNM/aWiAuLZveH6BwLaPG4BtEDcQaTH4NvhFMaiH24zC3hz7f1C7GOZhIEtUIgqxK5zcGCFzWmE/VECZRxTXGjIY8NwgbjJsUCwbbgceJNwFHBvILaL8GEimB+EINIPAUu4sBgXz8zTTz8dCB+CLakvGK4cxZuE6s+1xh7gLMyYgBj+R7Mx/Brau0ruSdPOMX0D18I+uruFHrA0yBwh9AgvBA4B7GoqUbgt6bx06dLOYvGHy3CZKxg4l6uAWwaBTezYv87YkIHeIO8gBEaxj0wflymmKd81lsZi1jhD+Ol44403CCINnMLFIv8exxeOLKwRDBWsEZYowBwNtNRHERABERABEUguAslkhKCL8PAYJZun41Eoo4pxlD/4QBv+tnmy+MADD1h0deBopI/Rn2jaWURyk0qLkocmEamf9Naj2QTkRF8nV4RYcDjQG89rieLwbRIbAj0STxHKDVYH3gNTptF7CMLhCTpGiIvloH/qfcFQIvEPUOPyExgUbqi8UZRyvwcrMxCqEnq2i6ihnhmZ1YRbw5qhe/GQ3o0V2o+rCaWB2s2SWTTwn+u79pEKuDvQMp0njRAsEj8wEUndgS0acKQTJ02axIlExURqEFqPJoruiPYcUPrNzMODYYFwsOKWTpMwd7WlhWDImS3KLcelBDIXiBosE99fhGGDh4fkexb4IjUf5ZUIK3RruEW6SzHMsGEwXTAbzOtinrfQqSTM6ZAAAEAASURBVBEQSGWoyxEzBvvK2ptDgHIs3yA3BGYV6RmkM+GQwYJlapgHdIWVwt3OPe9aUiC6j116yF3BmvXr0yyHioSKz4WwaK4Yv840wwJEqoDJgRFrcWiRxIAqrh7GItMJQ4sQOMpcSvtGhz2LGxUrlBXquEu5h7lhIBO2pSpFQAREQAREIFkIJJMRglLCvz4apIXUO8RoqIMHDyaynEeJVKKWoUIRiY6+5dpQIKmdXAtUN4v+9w9RphIVDQUCpccdomeUafcxUgFtkkeYaIE8bw6o9cSZcIgU4YBFEakr6vES4OtAX+ext2vG41VCMnhIzLJFFnyFqMQpoQ4GvA205CwMFZRmdzqaq+3hwBN3KtF4eNqNAYCW7NogOWsZkfZKjTWjYDKg6NObqZWcFVCAsAlZ9wwlyVaO4iwEoxkXAr3W9c8jfHRlYv1NhaUeRwG6tUUluWaBAqISJwMNHDLuEHNkJVYe3nOhLe+c+VImsD6gj2J6AZOn+/ZQn0tMJ9hp/mXCFYCc9Mk1suGwEzAp3XDo1jyEBgI+EypjHAtJwIuVyC3nuqLAfcg7d4VdIBRiFHcj7DcLLWMhcHOihtKts2GYNS1R2bn9sFKQzU7E0qAGtlxovyssB0udopLbe+TIkeSrOKvMWgI8ILPfA2WsHQTm28Q1dYfozQUXWSUCc30JKPKbcYirySG8NAjJzYONhLEU+KJhbLv4KAp88fnWOwvH+kcX55bjtkyXhcy5SI4HwzrhnXuDMDBERSo+xvh1xp6HA1fTvzM5na9M4AviBrICRggGD6ZpILkc08W36wDC8g98s3xRuYEjxSUGRtFHERABERABEcjhBJLJCOFpKGnEAMWbgVZtZNEmUTTREQmlsPRf1HTiy9FQecJtqict0XdRr9F1eM7KRzQzItHRBlwENpoH4S5oJ4TomMHgeqZ99BdDkyWMWsZKsvTgFFwGJfqF1UjxwIS1fMJ2i0LMc2vUFNYLQt2kN8qEZPCR9jwyt1gmhEc5RstEefL7QX2kBpMDjY1zmSBaIKkCaN40s+V3ENgi7NkAjjxs5ouaSFYAizhh26BamWaPWomeh5EDUs5FaUYL5yOx7PSJ1s4LY48FxwhnQtG3YBIGxdigPf34gqFjof6iTZpyaYnLSBsaEuafxVzQrSHA7hM2I8JmeBhsNHiEbL1haZDtwKNlZKMxPWCC4ri48MILGcIt1mxq8SOPPEKyhOl2NMOe4aJzCOvONFH0SOxG+mEu6IVEv7CXBQsZ47Sh5xjH4hk5lpizFmxS4KVzLAcsNKuxxcfMK2I1kd6ZLPS4x9BxnQ2DLgtnpgAcChhRdjpz4Ybk4vpP/bkhMdeRwdpwG2AjcVGg4SqZMpo9tzFfB7tbQuXhfmCdAL50ZPZzD9CAs+xr6DcmS57l1/gm4tlw30QGYgrcNtY/NzO6OPzxNbk23JDUYESRhI2BwTeC2DkMMPZXwWVhQ9APX3BsRS6xb+v6AkQqs4s89rZ9zXl//fXX+XHgNrYvRYxfZ36OSMzgKoOUb6KNhXgkGjmYYQXgWvPjY84r14AT6cdsfqvkxuarQeoIq4SB1ypx1uEA5DvIl8Kdq4IIiIAIiIAIJCUB/t7i+yI4gbQNWLhYcAwGtK7QXA7b6ov3SALwoJRECz/XgiX2+Y9HU8SKoENyZzFL+MjDdbQW1w96qu0XjjaP8sryRzTw26DQEMXBiex6jiKF0sC5KEa0oZI+rWf0APbNQPNz+69FmguqDGqNfzriISS9oeFx1GSzGflwnMx+AfFIlfbvJwBiWVFDNLm1xAzgI2qZfyJlYlQsEyBwOiiocRcldAhEhQmTdfvfofFQxneBImujwB8yfs9WZr0pOrQ22DPA98+yetuTzm0IiMaJcm+noy6jH1uz0HcUTR4J+4Pa1efq+Pv3YbARVeU3oww3MwutW25ORA204SPGFcaAtQkdjgb+vnI0i2UsVGROZNb+jCAJGUeYQwBx8pAe4DcOlN03C8sBBd2Ohq3kEFcKpZaeuSe5/7HZ0Ji5xDxZR6EHC3cyzdxtgFHEre6+UJA0Azggg/sIJfqhf5aHonP7GiIYNe7LQmMsHHMf2TeRKEFuMNr4PB1wBqUBvdEnbbjoHLIR3RffpsMQdj8jMIdoE+mLGfiRsY8EcYEC+d18ERJR3exi/DoztO3jzqSQ3H5n8JBwf/q/Wq5bK9A5uS4I4H7E+L5Q5p2fIybuvqT8ptlPCtcOLI6emzUd2oxCf10Dg+qjCIiACIiACCSUAP9usbx4wO1e/z7CjO/LaUXurzRG/SBUjFAjhDbMkJRW9Gz+nvnDRnliJSgiIgKnIwbPO23jAlpeddVVgTaE7vCYlh54fmyP2OkBUdkuGoXAdBT0VxPe6VWR5mKjMwTC2ENuBkVIREVgJ1uMRgjt0Q6JzqcrhEEkxkXh5gko4R/WmymvAR3XDuEkQV8xPjzcJUMdq8x26cZ0ccK4IZgsWg5xPjwCZ4hIe6Xbidw6tDSNFtnQ5PhIpevWHsmjUWGNuEogkDXOQO6u4BBqn10CHmZDxjUOLSC/zYgR8UhA1RZxQtH3G9OMyRp/HhXbxP0GlE1+xKYrrj7+E8xazC2/GQBdP9xChPkRr+83oBx9LNws6Nm+tWCn4y5gUDw57q6gH9uhHHeZuw8DY7mPZtiwvBjuNVdpd4Jv2NghvgIY2GaY2d3I/cz0rT02szVjakyQ3HSuDrJF4uaGcwXuHzxg1j/vjMW2JPTgvizW0prBmUMMwUChPP02NKMxPVPpxqIAMRw7XH0unPXDcO7Gi/TFDGuEcBMSf2U/DtwtYe8TRkzz60wbu53s6wBkvqT8sBx4chJxmQrOwnqBvwlgXyJSd7gQZqhb3hrNePkyWMvA101GiIHSuwiIgAiIQPYS4G86lhf/m+6VB4n519crywigGhK5hM8BpTP2QdHRUetRU/Cr2A4esZ+rliIgAiIgAiIgAiIgAiKQOAIxGhR+s2TKCUkcuCzrGfQ8zSWOnJiNSIOS2ED2BQH3fgPCb8ge5im1yzz2j6osAiIgAiIgAiIgAiIgAklEQEZIll4sXBkERBF8H8UIsSxb8nQtE4PEX+wWYpnI0CXqw2UeZ6ncGkwEREAEREAEREAEREAE4kdA4VjxYxmnnliviTRTVuzx+yMInu32iDi3RWb9QyqLgAiIgAiIgAiIgAiIQDYS8OOsoojhN5MREgVUth1i8wTCsV599VXymMlGJYH12muvJVs39nV+s010DSwCIiACIiACIiACIpDLCPjWRZSp+81khEQBpUMiIAIiIAIiIAIiIAIiIAJpEPCtiyhN/WbKCYkCSodEQAREQAREQAREQAREQATiT0BGSPyZqkcREAEREAEREAEREAEREIEoBGSERIGjQyIgAiIgAiIgAiIgAiIgAvEnICMk/kzVowiIgAiIgAiIgAiIgAiIgE/ATwihXkaID0dlERABERABERABERABERCBhBOQEZJwxBpABERABERABERABERABETAJyAjxKehsgiIgAiIgAiIgAiIgAiIQMIJyAhJOGINIAIiIAIiIAIiIAIiIAIi4BOQEeLTUFkEREAEREAEREAEREAERCDhBGSEJByxBhABERABERABERABERABEfAJyAjxaagsAiIgAiIgAiIgAiIgAiKQcAIyQhKOWAOIgAiIgAiIgAiIgAiIgAj4BGSE+DRUFgEREAEREAEREAEREAERSDgBGSEJR6wBREAEREAEREAEREAEREAEfAIyQnwaKouACIiACIiACIiACIiACCScgIyQhCPWACIgAiIgAiIgAiIgAiIgAj4BGSE+DZVFQAREQAREQAREQAREQAQSTkBGSMIRawAREAEREAEREAEREAEREAGfgIwQn4bKIiACIiACIiACIiACIiACCScgIyThiDWACIiACIiACIiACIiACIiAT0BGiE9DZREQAREQAREQAREQAREQgYQTkBGScMQaQAREQAREQAREQAREQAREwCcgI8SnobIIiIAIiIAIiIAIiIAIiEDCCcgISThiDSACIiACIiACIiACIiACIuATkBHi01BZBERABERABERABERABEQg4QRkhCQcsQYQAREQAREQAREQAREQARHwCcgI8WmoLAIiIAIiIAIiIAIiIAIikHACMkISjlgDiIAIiIAIiIAIiIAIiIAI+ARkhPg0VBYBERABERABERABERABEUg4ARkhCUesAURABERABERABERABERABHwCMkJ8GiqLgAiIQMoS+OvAK2Wnp4mJgAiIgAgkFQEZIUl1uSSsCIiACEQm8M0335x77rmNGzdeu3ata7V3794FCxbcfvvtNWrUmDVrlqtXIVcR2L179+jRo88+++xhw4Zxn+SquWuyIiACOZNA/pwplqQSAREQARFIL4ElS5a88847nDV37tzjjjuOwpo1ayZNmvTJJ5+8/vrr6e1N7VOGwL59+2677baJEyc+/fTTrVq1ypMnT8pMTRMRARFIXgIyQpL32klyERCB7CTwzz//rFq1qnLlygcffHC2yPH111+XK1euaNGibvTTTz+9X79++fPnP+ecc6wS8fr37//5559/+umnGCSupQq5isCGDRvmz59f98BLFkiuuvSarAjkZAIKx8rJV0eyiYAI5FwCCxcufOihh37//fdsERGLggirn3/+2R/9sMMOu/fee0eMGIFx4tcXKFCgcOHCfo3KuYrADz/88NlnnxUvXrxQoUK5auKarAiIQE4mICMkJ18dySYCIpBDCWzbtu3+++//448/skU+0jwefvjh7du3Z8voGlQEREAEREAEMk9ARkjmGaoHERCB3EVgx44dt9xyy+TJk7Nl2lggd9111+OPP54to2tQERABERABEQgQID45UBPLRxkhsVBSGxEQgQQS4In+uHHjOnfuvGnTJmKcmjZtWqxYsWeffdZ+1P7++2/SrLt163b00UdTT7bDjBkzqHQC/fnnnyRk33DDDZyCgv7EE0+cdtpp1pKcbI66lhTS7I02RFi9+eabXbt2HTRo0HXXXXfKKacMHjwYw8P6IbweC2Tx4sV8nDdv3oUXXtiyZcv77ruP9W+tgf9ODAw9EIXP66mnnrJDM2fOvOmmm0qVKkVlly5dfvnlF6v/8ccf3377bZa3mj59OpnEL7zwQoMGDWjD+5w5c4wGbRDmvffe4xQyPYDG6DfffDMTp4Y233///ahRozKZhk6UFxjbtGnTokWLqlWrduzYcdmyZYH/GCQEb4cOHRDgpAOve+65x1GKfUZcu/bt2/8LKE+eE088kTvBAXGHYOjW+2KIBx54gEtMe2TzL40NGv124uKSnw3k5s2bH3XUUQwNTOZi57r3NO+TWC6W641CLEjTnBr+NwTmzuEO8TtXWQREQASSkgD/K3qJgAiIQLYQWL58Obr+IYccwq8naiUKaMOGDStWrMjHyy67DL1tz549AwcOvOqqq9avX2/GxllnncVRKvfv30801DPPPNOoUSP78cUOQW8+//zzb7311hNOOMEqraXNLnpvrg0qb+3atTEzrObjjz9GJNY2RUd0lO68804npKsMW8CyYmo0fvLJJ10D5jJgwADXw2+//fbSSy91796dGl4vvvgiRtfVV19NdgcqPjUVKlRghSt3Oo2ppFs6t0pYQe+MM8749/z/jkWD1atXMyPqp02b5jqJVPjoo4+4Chgh4PLPHTNmDKq5nUVOPBfiiiuuMAEwwFiVC0q8zF5K14w2btyISYB4TPnXX3/1BXv33XebNGnC1bdKbNRmzZphRdCMNWeJiOPmqVatGsYeDWK5nbi4rVu3/vbbb2nPuOedd96/vP7/y/hEv0/SNTUTOxak0adm/bzyyismKbeHXR2rT/P9ww8/5ET7TqXZWA1EQAREIL0E+HeI5WXbVbn3f5+c6SUCIiAC2UWAny0ebJtqdeWVV+7cuRMF95prrpkwYQLaHh4GtHCcD048FFBrTDSUVTotH7UYTZ0OqUcpv/baa/2W6P2x9IYayln169dnLwXrn67Q3qj0NfjYjRBygs2Q8I0Qeg7twU2E0fGx2EScgk57k4f3UCMEk4zH+ejiaOSIGhgrdiMEdR+jjrGAb8PhOujbt6/PZOvWreju2AZ4J5xISIsVRDNnEnAoxhlxLhYO52IpIarrk0tG8j3ZLxSo5MaADGanfaRm165dF1xwASdefPHFP/30EzV0Fel2wmS1UYhkM7a0x8l2xBFHsIaYmTHU0Hks90mMU6PDWJDGMjW6YjUCrk7JkiUxUx0E6tN8yQhJE5EaiIAIZIYAP6qxvJz5YQWFY/H/pZcIiEC2ESCo5vDDD2d4FFCUXRQsNEIew1966aWbN2/G5ODJt7/WU61atU4++WTa84zcomhY+okXNfhA6tSpQ4eUeUBOMJU9X7eWWDKx9JY3b17OZdVd64euWPHWlpZK9BZvbiKXX345Kr4JULZsWcKxEIPRLeaKcugLIQsWLHjkkUcSYhR6NMYa/hWw/dDssTEMKSeCol27dscffzxhaSVKlKAGpwcW4Kmnnorfw/WMtDiLeH355Zdo+YFLE31GnHvmmWdiYGAJLFq0yPVJYNUXX3yBWyZfvnz8O06ZMgXTiK0Y+WhtkIdVZykTfkZLCnQV6XbCeWIWJjuoGFva4zEDL8r9unXrrM8Y75MYL1YsSGOcGuIhOY4mJMQqdhBM7FjeuY25T2JpqTYiIAIikAUE9HuUBZA1hAiIQNoEUChZQtRvR4AKKilPuFG8XD2P/Hm0zEceHuOj8JccxX5wyiUNMF3YN2P27Nns5oGDJcbeOIW0CjQ8t/8Go/ByAmRxAUlsjqizPGdK6OjkOeCBwczDmPEH4uk7DgqrIQjq/fffp3zMMccENFpyFWjJUQLYUJSxW/xOXDnsjLCdcGRxubFwMIHsTiCKqXTp0tWrV+dcriCJEFhiuMv8i+6yUJCQ0d0oobcTBgyd0MA3JosUKUKuEZVuqbEY7xM3kF8InVosSPGVxT41mAew+wJEKpuFhsWVXXvaRBJM9SIgArmZgIyQ3Hz1NXcRyLkEeDxsm+sRkNOpU6cMCIpBgj7NiYQPoX3G2BtnmQZMGBJK8BtvvIF+HJq4nAF5cv4paMNEGbHZSBRVFZsQD1XYuTjgODToKpIREvZc1HfyeQi1wqfRs2dPFieAOao5ldgJnGKy4RUZP3481k7YTqJXorvbvJy9QXtqMFcolClThvfM33UBGWJBmvmpBQb1PxK19cEHH7BR+siRI1nGAM7+UZVFQAREIBsJKBwrG+FraBEQgYgEeG6N8cBhEnAjNkrrgNNWyQeIvTfMD6KSSOTA5cLef7169bIIn7RGS/rjmGorVqzA14QuHmkyXBeLCkO7DW3jgBP7FHo0ek2NGjUseYZYL2TAX4HBU69ePTvLZOPS8IreT6Sjhx56qPU2a9YsZ0dxY+CsIBKsZs2anBiXu84XIBakmZ+aP2KgzFJj+AwtVM/MuUADfRQBERCB7CIgIyS7yGtcERCBaAR4RE1+CC1QRsPqu9FO/u8xgovIrIixNzTs/v37Dxs2DA8MaxDlKr2Nx+Tkw2B6oRb/F+H/faKBuQ4IuIp0Xcjqodn/nRNbCdSsnEvbBQsWkI5P/gaOLNwydjYd0i2D+n6M2Dr+31bM7vrrryeFneg+ktfNu8VKBtgkrGFQqVIl2sXxrrNRY0SayalF4cDFYtU4FpJmMeVXX301SksdEgEREIEsJiAjJIuBazgREIGYCKC9mQLKwj7uubV/JrFS5Hv4NaFldFkqiQsitSCW3vAAvPzyy+yzQX4CCdB+hklo56lXA6UqVaqQmDF//vzQ2WENknROrJolURDeFuqkMusFk49XaA9p1pDsToY6ArADyaeffkqZ28DOYlyuIDKwnlVoP1gUbMPiNhgJbWA1eLTGjh3br18/+kEp79GjB3cXqjm7tViiRVzuOn/0GJFmfmr+oIEytzGLClDJvisZ9iMF+tRHERABEcg8ARkhmWeoHkRABBJCgAfhPP8mUfj5558P5GSzaxt7+dnT60hjk8m9cuVKemjVqhWpzLH0RgK6LaDkryOEZUJXkUaJvd73G9BhDswzYbFa21+F3IzvvvvOnxpLZrEXJI4C/BWYZxxiP0d2S/TbAMq2FMSEK1++vH8oxjKmC5tR0pjtF1l+ylLS7VzT5iljRWAL+R0yLsJwh9giZv6hQBnmjz32GAknrJP21ltvMU32ncRG9a3NWO6TQLdRPsaCNF1T4y4iZizKiGEPmS3HRST8LGwDVYqACIhA1hOQEZL1zDWiCIhATATYhpslX2k6ZMgQduM2rR2Nk2fwbDnHU3O28PM7CjyYJ3QHi4LdvlE6aRZLbyiyNgo7FZIuzFkMx1pPtkG19W9qnK2dxTpa9vQdD0Ck9XOxf0xOwn5IP7A+cePYGlP0mQELx4KdSCI3IZHBevZpZKCMgcEyx3SOJ+SSSy4hbAmVFyYYG6xJRc4GK2LRLRFNuA4o4DXyTSmybth9nLwOEqAzsIITHWIMcDo7jSCDS0m3iTjZyHpnwV9E4tJwCAEwS1577TVCuZzbxE4JvMN59OjRTI0MEBZSCxx1H2O5T1zjNAtO7ChIXZs0p4aNxw6V5NC7XQvTFEANREAERCDnEuB3XC8REAERyEYC7KzHTyTP4HnCHRDDX3cVxZTdM9gJhAJL/bittVHELaGZrA+ecFte9ZYtW9hLgZAbTBHXZ5q9oXPfdddd9nuNPOw0Qg833XQTWi+VbItB8gAbBdIhYTyIQSUbn6MREuGDHeIGChR46G6N2dQCgwpFn+SEBx980AZCeIwlTmEbb1Z/opLZuR6YJvuIU8mufFgaVs9EbAd09iwncql37962BThRRmjYNPZ3NuQUApx4JE89jV3PYQvQw96jpf9CeLb+cMA5kTg3TBHagIsH89TgRGKjehbJJeYHu8U6j31GThh6Yzpsas4VdJVWQDa2ETSSDI0Hg31guOg4Xtgr3TWOdDvhB6Bbmxd3EWfZC4MW9wiZME7sNO8Txop9arEgjXFqzvYgWwnz1U05zQK3KxPXjulpglIDERCBjBHg9zOWFw+D/Jd2TM8YbZ0lAiIQBwLs4IH6binjKEno6EResfOD3zWJyCjlZ5xxBtoneueNN964dOlSfsVcG2eEoHnffffdGA/sb9i2bVvWcg1V1NLsDWWaFbGwN5AKPZtH+6jFKNbIRiWS2M7caI0ou9TwGjFiBN06eUILNGa5LaRijkwEBwIKPQ/v2ZwR7dCExPeCwWMqMkMzETiwgx758U7txgTCC0T//NYTgMRMadmnTx8UaMR+++23zTCgE+qHDh3K6XSC/YDw1jMAMX7MYgmV02pgi9OGruiE2XXv3p2IOB+4NQMLJg0GFe4RkjcokJXBtXDdpmtG7iwKM2bMQGYMQr/SyoiBfwYVnImABUcZe4e7QaPfTkAj5R071lAE3umN6Cza2EDR75P0Ti0WpNGnZlLha+K6MHduSydqKKXQGhkhoUxUIwIiEEcC/CLF8uKHzn/lQYLAb7E+ioAIiEASEcAFwUYibIaAVWBOgyQSXqJmGQH+7LCmMJywe0luwcjBGLMgOt7ZJPGrr77CzcUel1kmUpYNhPVFJg+eEHw+zqbNstE1kAiIQMoTiNGaCDTTZoUpf2NogiIgAiIgAv/DZvAEj+Fjcbu+2IJphobIroEDBxLwlpJGiC6/CIiACORAAhGT83KgrBJJBERABERABDJAAOuClZcJMPMND78f4tlIELfMGb8+NcpsIknwXsZWQUgNApqFCIhADiQgIyQHXhSJJAIiIAIiEE8CxOyxRMHUqVNZ6IzAZb9rwgNI6B8+fDg7+mGl+IdSpsz6bCeffDLJNixanTKT0kREQASSnYDCsZL9Ckp+EcjtBFipFv0SCiyuxV5s7C+R24lo/iEE2GCRRYeHDRt20UUXkW3PQrcsBEwr7hyWS8ZLQB6/bcIYcmoqVODkYdmGgw46iGUGSIkBBTWpMDHNQQREIJkJKDE9ma+eZBeB3E1g9+7drNnK7gosP2Uk2L6jatWqrKBF/EnuZqPZBwngAGEXdva4ZMsOlvTF6cGCyCxWxhLJrDcVZeeQYEdJ/pmgLDZUYfuaJJ+HxBcBEchBBAIZ55EkCzSTERIJlOpFQAREQAREQAREQAREQATSIBCwLiK1DjRTTkgkUKoXAREQAREQAREQAREQARFICAEZIQnBqk5FQAREQAREQAREQAREQAQiEZAREomM6kVABERABERABERABERABBJCQEZIQrCqUxEQAREQAREQAREQAREQgUgEZIREIqN6ERABERABERABERABERCBhBCQEZIQrOpUBERABERABERABERABEQgEgEZIZHIqF4EREAEREAEREAEREAERCAhBGSEJASrOhUBERABERABERABERABEYhEQEZIJDKqFwEREAEREAEREAEREAERSAgBGSEJwapORUAEREAEMk/g888/v+yyy84555ymTZtWr1591KhRe/fujdLt119//eabb1555ZXFihXL8/9f55577lNPPfXxxx///vvv/rl8pH7y5Ml+ZRaUv/vuO4QcNmzYBRdc0Lx586+++sofdNOmTX369KGNX6myCIiACKQegTyBHdRTb4aakQiIgAiIQJIS+OOPP5D84IMP5q/qyy+/7Nu37/79+8eNG3fkkUdGmdHOnTs7der0wQcf0GbgwIFDhw7Nnz9/oP2OHTs4hA3Qvn370KOBxvH9iPHz22+/3Xjjjc899xwm1mOPPXbIIYf4Q2CB9O/fH1Pk1FNP9etVFgEREIGcSSBGayLQTJ6QnHk1JZUIiIAIiMC/5gcvQODVwBMyaNCg1atXo7X/9ddfUej88MMPW7dupQHKfatWrUJtjG3btl199dUNGjTIegsEqQoUKMD7zz//zHu1atUCFgiVFStWHDJkyC233DJ9+nQ+6iUCIiACKUlARkhKXlZNSgREQARSkECdOnXOPPPMd999d+3atVGmt2HDhs8++4wGJ598cqVKlQItCei68847qe/YsWOofRJonKCP+DpMwlNOOSXsEBgnCDlgwICVK1eGbaBKERABEUh2AjJCkv0KSn4REAERyC0EcBpUrlwZ9R0zI8qcly5dakePP/74EiVK+C0JBnjmmWcWLFjQo0ePQoUK+Yeysvztt9+uWbOmYcOGVapUiTRuowOvkSNHRk+DiXS66kVABEQgawgEgqwiDRraTEZIJFaqFwEREAERyHEEjjnmGGT65ptvIkn2yy+/kD1iRzFCApbGqlWrSEZv0aKF9ROpk4TWE0tGljxDHHvssSVLlow0FlFbbdu2nThx4rRp0yK1Ub0IiIAIJC8BGSHJe+0kuQiIgAjkUgLff//933//HXbyu3btWrdunR0iHMtvw3M4stUxUXBBWGKGf9TKtCGfhNx3FrDyj2LbfPjhh3PmzHHrVmEIsQwXLzJM/JZplskGYdUvmhFdRjwYfeLuIP0jsHgXDQjKYgoTJkzYvXt3mt2qgQiIgAgkF4HggiHJJb2kFQEREAERSGEChF29+OKLU6dOZY758uVr06aNGQ9YIKGefeOAkbBw4ULKWBpkePtwWDULXR/NPmwQFEefeOKJl156iTVzjzjiiClTpvjn4rs466yzrN66XbJkCZFdtGnSpEmXLl38xtHLWFAsJUwbTAt8MsSGWfvrrrvuvvvuK1KkiDudWDKcOZhDtK9bt66rV0EEREAEUoCAPCEpcBE1BREQARFINQKYGS+//DK+gmXLlj399NPYFTgxcD6wsm30qX7yySfWgNW0DjvsML+xpYMffvjhgUQRa1OqVCkW7b344ov5WLt2bd+AIYBq9uzZgXpipe644w4qnW+EciyvFStWkBBCS3JXxo4dyzLEL7zwAukuuF/wivg9EEvGYsTbt2+fN2+eX6+yCIiACKQAARkhKXARNQUREAERSCkCeDleeeWVa665ho0yHnrooZo1a7JELy6CZs2a2TwrVKiQN2+Y/699+/a5vf8wQgoXLuxzYU2tLVu2YIREisUiBdwsCowf31Ah4Oqjjz6iK78eC6F3795sOFi0aFF/lOhl7Blb8Ao75/777yfP/qCDDmI7RVb9IuIL70rAw2OdY7Qwteg966gIiIAIJBeBMD/iyTUBSSsCIiACIpBiBPBm4JQgaZu9MnyPhJtm2bJlMUvcR1f48ccfnRGC6eLqrbB582YKbu+RwFE+0sCyNdhChOgv14BYLPNRBOoLFixYpkwZ8stdyzQLSLh8+XKaEcFVtWpVa2/9UCYdhX0M/U7on484Q0IzRvxmKouACIhA0hGQEZJ0l0wCi4AIiEAqE0DbJjAJj0S7du3q1avnT3XPnj18xHtAboZf78rr16+3cKywO4TY6a5xaAEDhvV/8VGQieGO4h6x/JBAPQ0wGDAqjj76aNc4zYKFhCF/48aNnR31559//vrrr5yL68Y3flxvjGINXI0KIiACIpDsBGSEJPsVlPwiIAIikFIE2ENj7ty55EgQfOUvsEvuhHk5yCyPtMDuF198QVATOIjFIuwqXVzcyrm1atUqV66cO5fEcdbJ5SNukKOOOsrVUyBKqnjx4unyhLDjOyFhGDnly5d3XSEz2ep8pN52iHeHVBABERCBVCUgIyRVr6zmJQIiIAJJScD2O8eKOOGEE/wJ/PDDDxbIhDFAErl/yMr4JSyYio8YKpgxgTZhI7tcGxcoReKHO5dKlsAyw4Z63yjCaJk5c+bZZ5/tr2flegtbwI4yRw1dlS5d2rVh1WDqkRn3iKv0C1HyWPxmKouACIhAEhGQEZJEF0uiioAIiEDqEyD/gUked9xxgY38LDGDmKjzzz/fYpbwHtx0002XX375/PnzyedmhxD2IjRAp5xySiipQw89lMqNGzeGDW2yQCkauN1FMDOwQFhIl8QMAqgCfZLmjlsjktkQOjo1dMXSWBROPPFE5/EgFmvWrFnYOa1atWLWgRMthAzjh7yRwCF9FAEREIGkJqB9QpL68kl4ERABEUg1AuaFYPErf/0rPBLs4MFUO3ToQE4IBVI1Bg8e/Pzzz1PGfmBHP5cQwkpToVnpNGN7ELwrKP379+/nY+BlgVJYIC4Wi90JcVCcd9557Fl+2mmn+YkodELiSqdOnSxxPNBVpI84eVgai35q1Kjh2mA4sRNI/fr1r7766tBlu8wkQ3IZIY6YCiIgAqlBQJ6Q1LiOmoUIiIAIpAgBUiwITMIDgCPCpoTGP2bMGDR126GcXcapJ7Rpx44d1gCdnqVsFy1aZHFT7du3Z/msUBzsuYELgsQSsjJCj7IJCZVESdnivKSXsDrwkCFDyPqgHvPAWQjsYcIKwsWKFTv99NNdP3SLV4RKFt5FYFfvF9gYhKFx5rjAMBb/xZTCM3PvvfeaceW3J8CM9bIwWjBRwias+41VFgEREIHkIiAjJLmul6QVAREQgRQnQEgSgUno62RKMFUWy2Ij8xEjRtx88828uxgt1H23bcg555yDBfLII4/QnrV9O3bs6Bae8mFZsju+BevZP0TZfBo//fQTDXB9DBo0CPMAcwgLB5uBbBMcI1g+2CoDBgwgsIptE80csn4mTZpECjtWUL9+/WzL9kD/uF/w2FBJh2bYkILft29f3sePH9+0adNAez5agBlLhPmek9BmqhEBERCBWAjwAzV8+PDFixe7xvzAvv/++3iYWTGchf46d+7Mnkj+bkWbNm3q06eP/Xa5s+JWYCS9REAEREAERCDnEMAN8vDDD2MANGnShDR01H3+NVHiAxLiKHjjjTfOOOMM/hGxE3CAvPfee1QGmvkfSQhp3rx5jx49iOby6ylje7A9IkYOts2jjz6KNWINcMi8/fbbJKBjw5gwBFDhDAmcjuHhMumffPLJwFHXFc0YnX4aNWpEn5ZzErYxlTNmzMA0wkQJHS7SKaoXAREQgbAEvv76a34k+VVxvyc7d+7EvcyifOzIxGMXPK5mXeB5dm3oigcll1xyCb9dYbulksaxvPgtDbzycHLcDBp1JAIiIAIiIAI5mwCRVDzYw3GBGRB3SQmswmNz6aWXhvVspGs4tkjHT8Jf+z333OP8P+nqQY1FQAREwAjg/r3uuuvw0/LswxzFRI3ecccdLNdx7bXX2hJ/eEUefPBBnMmEjL766qsYJ44ep2OuEJ7aokULV+kKMZoSoc0UjuUYqiACIiACIpD6BM4999yLLrqIEC9CquI+W4IWSB1hp5HM90xIGDsnkq0uCyTzMNWDCORmAuSeEUR64YUXYkK4UNVPP/0U2+P66693i4zz28UDFPwh/PKwioZPDL/0nXfeSScsreHXZ7IsIySTAHW6CIiACIhAMhHgH5dkD7I77rvvvkgZ5BmbDxYIcVxdu3a1tYAz1omdRVr82LFjyXI56aSTMtOPzhUBEcjlBPBv2GoZF198sZ/GxloXZID4ex8Bilw7fr5YJMPtleTo4TrmNXLkSGJZXWUmCzJCMglQp4uACIiACCQZAfb+I22DrA/8IfGyQ0ginzp16m233cYCXJnEgQVCCBaWEjuTuMeWmexTp4uACOROAqyoQY4Hq3ccdthhPgG2TK1QoYJfQ5k9YVmRj2Q88tQDh/CTtG3bduLEiThpA4cy/FFGSIbR6UQREAEREIFkJUCME9HPLMg7ffr0uMyBDgm5dnuMZLhPoiDmzJkzatQofCCyQDKMUSeKgAhAADcI62qwZDk7IKW5zDc5G/PmzStfvjybwIZ15xKURT9syhSvWFYZIbpLRUAERCBIgK3x+OF+6qmnSAt2x/g1t0273QKv7FPRv39/fNzsEeGaZXEhiUTNYjJpDseDPRam5AFhmi2zssFRRx3Vs2fPUqVKZeWgGksERCAlCbCw1dy5c1k8kFf0CWKBsFYva2c9/vjj1atXD9uYPZTIVqdDFtoK2yC9lTJC0ktM7UVABFKWAEsb8ftLDAxPtdknm03i/E27sTS6dOnCAq9r1qwxBOvWrSOeh1VieTIUuu5HQjElkaj8C/Jc7dRTT+WPjQUiyYaEzM8//ww6duibP39+QkGpcxEQARHItQT42yLLnP8ytnONBIFnbYSA9u7dm3V4X3vtNcK0eAYX9h+NBBK2fGU1cxwmkXpLV/2/+87qJQIiIAIiAIHChQsTUVOwYMHu3buzRqG/QCFH2cIJ88Ovx1xhU23WUSWIlu0pAhl+Duknn3zCoofuYywF8gFIAYzSMkGiRhkxA4f4byOAmBXoL7/88lmzZmF4sNYTj/lfeukl9vUDNU6kq666KgM96xQREAEREIE0CdhiVjxWO/jggyM1toX42JKIfDaeCpHeRsL6m2++aVswBc4yY4a/QtYQj/SXFzglykcZIVHg6JAIiECuI8BWSmvXrmXarLLqx/ez0Sx6c6CelUb4sWYvbWJto4TbYp+kN5OPvSbSRJ8IUdMcNF0NeKiGjcGy9Dxj4++KF/sAsvMgRgg2CeEB7NeBfz9dfaqxCIiACIhALARYA5CYYVry0MpfFytwLj/RvKhkv0L2e2XRXhb6Yz8l3NecGGiMrUINzhDik/lJDxxN70cZIeklpvYiIAKpTIAUi+XLlzNDXNL+GoXkgRAsG1pPXgHJzTwcivKcCZ9GWNd2JjkmQtRMiuSfThTW6NGjqcH74SwN+wO7/fbbqWeFXDYOd6coCduhiF5IxL0UfUQdFQERSEYCPKgicDd2yQk/btWq1fDhwy+77LIVK1awu0ilSpXCns6/Dz2HTV4P2z5SpXJCIpFRvQiIQG4kwBMgImgxP+rVq+fmz0/5O++8s2XLlkA9DfByEItVs2ZN1zjLCnEXFVcPlkDsryjrSqEosyU5HWKAEcAWyqR169b8z0VxH4WeohoREAEREIGEEuD3v27duvxoE5SF/z+hY9G5PCGJJqz+RUAEkonA0qVLMTZOO+00/wkQYbVknzMNVOpAogiNeSaULUZI3EUlGeass86K/WrhBYrUeOfOnWaisPlu6EJP2HIEaLFqpH+6HvD7NFQWAREQgUwS4Cc98DMbS4f49jmLbZT8WIDAiWy1FOX3P9A4ykcZIVHg6JAIiEDuIkCmnYvF4ofYJk/k64svvmjL8hKj5SKL7OjChQtJT8/AD30mySZCVBaA/+CDDzIpmJ2+efNmlg6jzM67PFqzSsyM9evXU2YNlsaNG1ul3kVABERABBJBgN/e4sWL0zMPy3DaFylSJJZRWFAE5z+P20KfH3H6nj17eCcbBAsnlt6it1E4VnQ+OioCIpCLCJBsRyAsE2aREJfjwSIhLG+FMk09OQx+BBHtyTgnssjp2WFhpTfMid6iRDrZEAkSNaz8GajEj28LGR999NHudOLHWIeejzCMTsydooIIiIAIiECGCfBoiXOxQLArYuyER0X8erds2TKsJ4S/HvqpUqVKXIwQeUJivChqJgIikPoENm7ciBHCLy+/sDZbHCAsEtKtW7cBAwZgh/gqNc/1J0+ezBN91zgSoPSGOdFPmp7uBIkaaQrprWfKrEzP4zd3ouGyFcasEoMEtxLxWq6NCiIgAiIgAnEkcNxxxxFdjF1BiGyxYsX8nvmzmzNnzplnnlm1alX3VGjv3r0vvPACcbmsl+Uq3VmWA8lvO7/b/vM41yC9BRkh6SWm9iIgAilLgAWdeIRPTp7FXG3atGno0KFsA8LihujT1DvbAJV69uzZmCjDhg0L/aUOAIpjmJPrOUGiuv4zWWB14xo1agDNPX5bvXr12LFjrVv2z8IrgreHzJBMDqTTRUAEREAEIhEgeaNJkyb8T33//fd+oiMBvY899thTTz3FiazMy/ZNLF3I3wpLY1WrVo2l1S2OK9At2eqrVq1i1RZ+3gOHMvZR4VgZ46azREAEUpCAWwGdtdVJ+0ZFxgfStGnTChUqsMEFq2bx3IjfbpbDGjlyJEYIv+wxRtnGHVYOF5UkGTYoxKf08ccfE2H8zTffsGUhf4fk9/MPB8a2bduSdVO+fPm4k1GHIiACIiACRgB/xUUXXcSvLlsz8ezMYSGpg/1AevToQe7HiBEjWJm3U6dOeKp57sYuVWEtEM7luRtGSPv27e0PyPWW4UIeX6YM96ITRUAERCAFCOCJxrrggT37y1544YVXXHGF7VfI7+SiRYsefPDBmTNnssUeng0O4Y9mVfXsmnXOF/XPP/98++23n376aVYPYx+Vdu3adenSBVfSI488wn/epZdeigkH5+wCqHFFQAREIDcQwB3Nn9f48eNfffXVwOqO6Zo+D+CIC+Ch0j333BP46Y7RlAhtJiMkXZdAjUVABERABFKEAPEJmENk17DrFst58byQHdwPO+ywFJmepiECIiACBwiw7SCbxprTI8rW6dFpkQOJ+cEWtJbs7hqHmhbuUKAQ2lJGSACRPoqACIiACOQKAvhqeNkaL5giAwcOJAaPdQhq1aqVK+avSYqACOQaAmTide/evWvXroRgpZnHGErliy++uO2228geYUn6wOmhpkXo6VYT2jLbYgkiiah6ERABERABEcgCAjwRdKtMkp3C/yvrMhOPlwX7BGfB7DSECIiACDgCuEGIyGJNwrfeeivUGHDNwhawQPCBDB48ONQCCds+9koZIbGzUksREAEREIGUJcBalmRnjhs37vPPP0/ZSWpiIiACuZUACY1svEvoKTtfxc5gw4YNLCUyatSok046KeADib2TSC0VjhWJjOpFQAREQARyFwGeFHbu3PnJJ58kfjp3zVyzFQEREIEMEYjdrxLaUp6QDCHXSSIgAiIgAilHwDajZA8Tt71Jyk1RExIBERCBnEJARkhOuRKSQwREQAREICcQYI9FNgZ2krDEMGsNs6sXa1O6yt9//50tUIhSYOF8q2Rvmf79+1988cUkgLpmKoiACIiACEQioB3TI5FRvQiIgAiIQCoT2Llz54QJE0jT/OmnnwoXLsy6k3Xr1mXCuEGwN1i39/nnn3/uuecsfprlKf1tYbA02PZkzZo11LMRGGetW7fuiSeeIKmdvYSHDBkS9+DpVL4SmpsIiECuJCBPSK687Jq0CIiACORiAoQm48Ro1KgRC/Ky5MvixYvZTrhUqVLsGeyoYJZcd+BFTe3atQObfH300UdYIH4968Y89NBDbBK/detW35HiOlRBBERABETAJyBPiE9DZREQAREQgdQnMG/evG7dupUtW5YlX2zjLbwczZs3t5kfccQRhQoVooxLZO3atRTYOaRcuXKOC+6OBQsWBOpZ8JekdlbWynfg5RqrIAIiIAIiEJaAjJCwWFQpAiIgAiKQmgS+/fZbtgTZtWvXXXfdxaKToZPE3rBgKrJBli9fToM6derg4nAtyQOZMWNGaH2BAgVKly5dtGhR9htxjVUQAREQAREIS0DhWGGxqFIEREAERCAFCRCINWnSJPwYrVu3btGihZ+5QRKITfioo47CmUGZZbI+++wzzI969eo5FrhH3nnnHZLXA/U0IAqLWKyaNWu6xiqIgAiIgAhEIiAjJBIZ1YuACIiACKQaAZLRp0+fzqwaN25csmRJf3rsCsxH0jyqV69u9UuXLsXYIF6rUqVKruXKlSvfeOMNPpJSEkgUoTHOExkhjpUKIiACIhCFgIyQKHB0SAREQAREIKUIsFswy1hVrlwZ08LcHTY90jws8qpBgwZ4Qqjct2+fi8UiyMqasTIvWw7bsrzEaJUoUcKns3DhQtLTSTXxK1UWAREQAREIS0BGSFgsqhQBERABEUhBAhgbrGqFnVC+fHl/epbmQUp6+/btLSt9+/btK1asoM2JJ57ocjzefPNNVuzFhqEec8U3Y2g/bdo0orz8EC9/CJVFQAREQAR8AjJCfBoqi4AIiIAIpDKBggULYmlgPPibfuDfGD9+PMFUF1xwQf369W3+GzduxAgh8aNKlSpWg6HCkr4sq7Vnzx7sENte3Q6RasKGIYR4ucapDFFzEwEREIF4EJAREg+K6kMEREAERCAZCLDyFZsJEmqF4WHyYj9MnDhx7NixODH69etXpEgRq2cRLdwmxxxzjMVcbdq0aejQoX379j3uuOMwV9hFhLWwXA+zZ8/GROnYsaPcIMlwF0hGERCBHEFARkiOuAwSQgREQAREIAsIEIjVpk2bRYsWLVu2DPODndHJMh84cCCVo0ePrlixopOhTJkylAmy2rFjBxnqvXv3xgfStGnTChUqNGvWjFWz2O4QY4blsEaOHIkRMmzYMGfAuE5UEAEREAERgAC/t6Ec8oStDW2nGhEQAREQARFIAQL4QFill20K8VoQl1W1alU2GSQKy1JB3AT37t2LdYGHhEW0LrzwwiuuuML2K+RPExvmwQcfnDlzJkYLCe4c4nQ/vst1ooIIiIAIpDaBGO2IsM1khKT2vaHZiYAIiIAIiIAIiIAIiEBCCIS1LkJHCttM4VihoFQjAiIgAiIgAiIgAiIgAiKQQAIyQhIIV12LgAiIgAiIgAiIgAiIgAiEEpAREspENSIgAiIgAiIgAiIgAiIgAgkkICMkgXDVtQiIgAiIgAiIgAiIgAiIQCgBGSGhTFQjAiIgAiIgAiIgAiIgAiKQQAIyQhIIV12LgAiIgAiIgAiIgAiIgAiEEpAREspENSIgAiIgAiIgAiIgAiIgAgkkICMkgXDVtQiIgAiIgAiIgAiIgAiIQCgBGSGhTFQjAiIgAiIgAiIgAiIgAiKQQAIyQhIIV12LgAiIgAiIgAiIgAiIgAiEEsgfWqUaERABERABEcgyAr/99tsTTzwxa9asP/744/vvv69Zs+att95ap06dPHnyhJVh7969y5Yt++STT15++eUlS5ZYm4oVK3bo0KFx48acTtk/cfXq1ePGjbvxxhtLlSrl1ye0/Pvvvy9duvSzzz5buXLlihUrWrZsOXDgQH9Gzz77bP78+Tt16sR7QiVR5yIgAiKQMwnk+eeff3KmZJJKBERABEQgNxDgb2jfvn2FChVCR6cwZsyY22+//YEHHujRo4evtYeiGD9+fOfOnamvVq3aK6+8UqtWrUAben7zzTenTJly5513VqhQIXA0oR///vvv/fv3L1y48PTTT2egadOmtWjRwh/xzz//fOGFF7788sthw4Yxd/+QyiIgAiKQLARitCPCNlM4VrJcZckpAiIgAqlJAEujcOHCZm+gjl911VUdO3a8//77cSBEmTB/aevXr7cGTZs2rVy5cqAxDSZMmDB27Ng77rgjiy0QJMmbN2+BAgV++eUXyieffHKlSpUC4uEA6dq162GHHdarV6+ff/45cFQfRUAERCDlCcgISflLrAmKgAiIQDIRwA5p167dmjVrJk+eHEXuPXv2fP3119aA2K1QZ8K8efMeeeQRgqAC0VlR+ozvob/++uvjjz+mz+rVqx9++OGhnWOH9OzZE3Nl5MiRNA5toBoREAERSGECMkJS+OJqaiIgAiKQlASOOuqo2rVrY4eYJyHsHLZt27Zq1SoOHXLIIeSBBNp8++23gwYNatOmTd26dQOHsuwjZhJTYDhsJIQMO26RIkWIOnvxxRfnzJkTtoEqRUAERCBVCcgISdUrq3mJgAiIQLISKF26dNmyZUlSj2KEEItFbjozPOGEE8qXL+9PFa/Cc889t2vXLtLBszHt+7vvviMxHcFCbSRf2ho1ajRv3vzxxx//8ccf/XqVRUAERCC1CcgISe3rq9mJgAiIQLISwNcRRS//4osvbGIEO5FZ4U9yw4YNJIKTp37MMcf49X6ZlbgWL158991379ixw68nUxynBGFULG9FPenjZJXgUXn99dfDJlb65wbKdIUnpGHDhuSrYFCxHBaWBrIFmuEMadCgwaRJk+bPnx84pI8iIAIikMIEZISk8MXV1ERABEQgCQig7r///vuXXHIJZgM+gXPPPXfBggVUYgBEypT49ddfLRaL6WGEkNfuz5M1qRYtWlSlSpVDDz3Ur7fyjBkzLrjgApwt9evXxwIpXry4a4PjBbMEGV577TVLlKdm4sSJU6dOZc2uH374wbVMs4Dk5gYpWbIkqSm4Owi7uv7668mhnzt3buB0c5WwSLFZPoGj+igCIiACKUlARkhKXlZNSgREQASSg8CmTZsuu+wytstA9f/oo49mz57dt2/fa665JnqOBMaDM0JYe8qfKi4OC9M68sgj8+XL5x+y8plnnjl8+HCL4OLcgw8+2LUhxMtSyV19iRIlhg4dauYK8V2uZZoFfDjLly+nGSYHKwjj1SE667zzzuOdTVECy2FhEZEDw9CbN29Os2c1EAEREIHUICAjJDWuo2YhAiIgAslHANUc5wBukPvuuw9HAYFJzAF13Hb8IC0EN0LYWW3cuNEW8CXYKbD4FVsZ2qpZZcqUCXsulej6xEoRJUU+id8GK4gAqkA9Bkm/fv2QrWDBgn7j6GWGWLduHW049/LLL2fxLrLtu3TpQg3mU8DYoGf6x3sTqI8+hI6KgAiIQFITkBGS1JdPwouACIhAshIg9IjNQFiHF0/IpZdeGppBXq5cudCFd222JIRYzvqxxx4bMFRwMlgmSdGiRcOiIbUDdZ9DWDu+AcNZH3zwQWg9NSywizBhg7vCDkElNhL2DC4Uf090W6iXQzt37vRPRFRbPmv79u1+vcoiIAIikMIEZISk8MXV1ERABEQg5xIgZeLll18mVIldz80HYrJinPCijCckrCHBruoW6UQbTg+sfvvbb7/hDIkybawUy9bACClWrJhruWzZMtJF+BiopwbHC+6RsMK40/2CCwnDCMF6cYdIZaF8xBFHRHKqyAhxrFQQARFIeQIyQlL+EmuCIiACIpDjCOCOYAGrLVu2nHTSSccff7wvH5VfffUVNWzxwabj/iEr47KwBnyEh6lYAABAAElEQVQ85ZRTQhtEr3Er52IhWPY57bFM2KwD7womDdkprp5DWERka5xxxhlhM0zCjkVvhHtxiKR5fwrffPMNlcwXOyTsiaoUAREQgdxDQEZI7rnWmqkIiIAI5BQCbr9zLA1/fSrkW7p0KXYI7ohIBgar3FrqOdkalSpVCkyJ6KzAir2BBhYoRTIJy2e5QyTEv/nmm3wM7ZN9D3fv3o2x5BqnWTA7B0vDnwL+Gct6b9KkSdgN1Ok2Sh5LmoOqgQiIgAgkFwEZIcl1vSStCIiACKQCAQKWLPQIS8D3MLjEjIsuuoh8D6bKQr3soXHxxRc/8MADtj4VwVSWEIKfIVSbZ7UrS94I3ZGD3lyglL+7CMkbrFjFKro0YHdz1qpyiFlpl9Fxg7BMlqtMs7By5UrsKDokGd01Jk+dXBSyUNq2betPmQYHAtB+xwnjh4e5E1UQAREQgZQkICMkJS+rJiUCIiACOZoAaeiWyxHIRzePBIFS7dq1s0MscdutW7c33njj5ptvxlnhJ4Q0a9YskBDCnNHjzZwgOSQUgQuUYh9D210EB8WoUaNat25tIVLESvmL9mJOsM8gW5eEdhWpBjvn008/5ShLbzknD6bUq6++SowWq4Fh5wTOxabC+kKkwNbvgWb6KAIiIAKpREBGSCpdTc1FBERABJKDAEne5JQjK3FZTmJ0dNbqxVcwZMiQqlWrWj1bBJrfg3oqt27daio+mRtnn322O9cVSOdo1KgRH/FvWIK7O0SBZanwUVAwHwUN2EmwQoUK7du3t6xxP/ucPUw42qtXL+egwJZgRS8+Nm7c2OWl+P1TRmDLm3ebjZAAw+6Hjz766HUHXgE3CKdggZAuUq9ePRkhAZj6KAIikMIEZISk8MXV1ERABEQghxJAEScqCbsC1wfODaRcvXr1DTfcgPvi6aefbtmypUsNJxkDxwgN0PuxHLABCGoiY2TEiBFsRxh2emxAzo6EODHwewQa4DmxwCoMDF6DBw8m4Kp3795U0ieNWSALKwX3CLuk9z/wMmPJ+iE/BIcGRhF7uo8cOdLslsAQGCH0jFvD7CjsnPHjxw8cOBAfyD333OOvA+ZOtNW6TjvttMDW766BCiIgAiKQegTy8IQm9WalGYmACIhA3AmgXKL+otrynJun7MTw2BP3uA8UY4doz+RYk6LNI3mSudGVUYsjbawRY59Z2Yx/H0iil7PpB6kd6N/sFoL5EZqcjeqPR4LcDBK+GzRoQOgUu/756RYBsen5mWeeueqqqwjlatq0qX+UQ+xMwqB4VDBUrrzySvwPZvBQ89BDD3EUQwiD5JJLLmGD84DNgL2E3fLUU09hh2AzYF34K/C6gfC3TJgwYcqUKVgguHq4T7p27XriiSfmzRvmwR8GT8+ePXGG0G1oiovrUwUREAERyIEEYrQjwjaTEZIDL6hEEgERyIkE9u/fz8/osGHDhg8fHkUBzTLREQYdd+3atR07dsQaefLJJ6+++uosGz2HD7Rjxw5oYM9gVyTCMJs3bx6bnMSlc7oiSgsPD9Flzv+Tw/FKPBEQAREwAmGti1A4YZuFeSoTeqZqREAEREAEDjroICDw3Jp31lYKbNSd9XxQWNnzDjsEFw1RRhZNlPVi5MwRWaW3T58+77///pw5c+IuIZkhH330EX6SzJs3OEBGjx7N2l+YtbJA4n6l1KEIiEBOJiAjJCdfHckmAiKQswi4nONatWpF2vQ6iyW2XTXIgY4SnpTFIuWQ4QjEIuxqwIABn3/+eRxFwgIZN24cK2hhNmSyWwxI/FcYtCz8lXl7JpPC6HQREAERSC+BsP6N2DvJH3tTtRQBERCBXE6AlGUSMAKb0GUjE1aDtTWaArtbZKNIOWdoHAvkdbBnCHYIKSW260jmxZs1a1bZsmUvu+yywOLC6e0ZC+Thhx/GvUZafCDzJL1dqb0IiIAIJCMBGSHJeNUkswiIQPYQMLcDj8BtT4nsEcIb1XlmArtbeE1ydRE7hEQLVqkiTZwUkbhE0J111llxYfr666+feuqpLPkVNls9LkOoExEQARHIyQRkhOTkqyPZREAEchABFk2ywB7cDjxfX7JkyYcffsjGDq1atcquJ9lsCs7qWOaZYQNyHtLjqzG1WwkG7tY5+uijcYa4jzmk0Llz5xwiicQQAREQgWwhICMkW7BrUBEQgeQjsGvXrlWrViE3UbBokOzebXMgQTm7FldlfwnWiuVJP6vBshceEiISO/2RadChQ4estEMILnrnnXeee+45Vqdld45rrrmG1W/Jc2A/DUw1Ng5n+V0st+S76pJYBERABEQgMQRkhCSGq3oVARFIOQLr16/H7cC0WBmJaH72wGblpR49erCzBDtOsNVDpBlzFnvVRToatp7NKNLchIQ9K2xnbnwyeGMQj51DBg0a9MQTT4wZM8a29gvbedwr2WGjX79+X3/99WOPPcbegsQ+YYRgqmF4sAM62xGSyS0LJO7Y1aEIiIAIJDUBGSFJffkkvAiIQNYRYE893A7EPt11111smcfATZo0wQ1C0jMeCTbPjrTdNXFc06ZNS5egLJeUZntWd7WsdHwOt9xyi4WEdevW7a233mKTPjb4y5r1stiRg20u2GgcS4NFuhAb8+mEE0547733du/e/fbbb2OexSuPIk0maiACIiACIpAsBGSEJMuVkpwiIALZScC5HdjSwfkoChQoULp0acT6/vvvaRDJCKF9JtcxDDtz88xgFOGNcUkpBD6xQx+ZIYgU9qz4VjIv9uwjMg3jB3eQdV60aFH2LfngwKt+/fqs/qT1Z+OLXb2JgAiIQAoQ0D4hKXARNQUREIGEEyDtm13JGaZZs2bYHjYe4U/YHpTRuTO5YGsGJrB48WI8M/hkKleu7E4nNwOfjInkKv0CAhMrRbpIjK8uXbowit+DX8bfQvAVNVggzhDyG+AGOe644/yaGMdVMx+ayiIgAiKQegTkCUm9a6oZiYAIxJ/Axo0bMUJQ932VGnWfegajnsf/8R81co/YEhaLRVZ6sWLFXMNt27atWbMGeVgSylX6BZR7dhOPPT4Kv0qUNWQXLly4aNEigq8sEMsfiDIGTNu2bRkxUK+PIiACIiACIiAjRPeACIiACKRNwNwOLVu2rFixomvNCrnsHIIb5IwzzsiXL5+rz4KC88zgCXFD45mZP38+oxMAFmlvPjZ6HzZsWFwkZLiVK1fSVbly5TBsXJ/sXkKqOh+7d+/uG0jWIBGRaW5oFURABERABJKFgMKxkuVKSU4REIFsI4DHwxbnrVGjhtOqUabxA3z55Zfsy8GSUFGEY5na9AYXTZ8+PUqHHPruu+8YHRdElSpVXEtUf9bDxSg6//zzwwZHuZZxKbBfuy0KjNfF5cOA5f333ydTnyGcdRSX4dSJCIiACIhAKhGQJySVrqbmIgIikBACLABlRgjGhgsu2rx5M+kQOEb69OlTokSJKAPjfIg9/Mn6cWknkbq1xYLZKN3t3Y72/+6777IebpatRoWN4WwPJyfWEXuBu48s4fXKK6+Qtq7cdMdEBREQAREQAQjICNFtIAIiIAJpEGAHDNwOtWvXRum3pnv37mWhXmKx2BawYcOG0c8nX4KVoqK3SddRMsVthxBEcp6ZefPmjRgxgiWDb7vttqzR+A8++GBcQ0hOXJYFWf35558vvfQSnh+bDosaAwqHSdbIky6GaiwCIiACIpC9BGSEZC9/jS4CIpAEBNatW4eUpIAffvjhFHCMsAff1KlTn3322Xbt2jnfSJbNhP03bAVejBBG//vvv2fOnMlWIU2bNkUwEzJrhGnTpg1mDyn7mzZtYlsSLBA2bn/wwQfJj7/33nuHDh2Kp+j555/PGmE0igiIgAiIQBIRyGOPr5JIYokqAiIgAllMgN/J1atXP/PMM6wExdAHHXQQynfHjh1dKFQWy8NweBjYqZ14MAwSUlZq1qxJyBO7pGf9SsGYQ+wfz/aIYMEx0qtXr1q1auE7uv7661k6jENk82e9nZb1V0QjioAIiEBuIxC7ERG2pYyQ3HbDaL4iIAIiIAIiIAIiIAIikFkCYU2L0E4jNVM4Vigr1YiACIiACKQgAZw2pM3gn8F3xLoCF110EYsK+IsLk9xCaBlJ/+zBQsJPtWrVRo4cqYSWFLwVNCUREIEcQECekBxwESSCCIiACIhA4gmQN8+LxcoYClNk4MCBWBos3kX8mA3O4zq2nF+7di2xdlgjrDpw9dVXJ14ujSACIiACSUkgkosjMJlIzbRPSACUPoqACIiACKQmARJmzAJheuXLlx80aBALfOHrYLUxmzC5KzTADmG/RbZbIe8/NUFoViIgAiKQAwjICMkBF0EiiIAIiIAIZDmB4447rlWrVuPGjfv888/9wXGPbNmyhYWVWe/Lr1dZBERABEQgjgRkhMQRproSAREQARFIGgJstmj7nLCfiROaXU1ICOFjnTp1Spcu7epVEAEREAERiC8BGSHx5aneREAEREAEkobA0Ucfjazs8k5KuglNIJZtBMnGlARrJc1MJKgIiIAIJBsBrY6VbFdM8oqACIiACMSVAMFXv/32W5EiReh1w4YNrI7FDjCnnHLK9u3bZ82axdGzzz6brSq120lcqaszERCB3E5ARkhuvwM0fxEQARHIJQR27tzJ9o5vvfXWTz/9VLhwYbI+6taty9xxg7DrvEH47LPPyFPH5JgyZQq7v+/atYv6IUOGsFJWhw4dZIfkkltF0xQBEcgCAgrHygLIGkIEREAERCA7CbBA5Jw5cxo1asSCvIMHD168eDEujlKlSnXq1MkXa9++fRaLtWTJEurXr1+PEXLttddilowZM4ZtRvzGKouACIiACGSGgIyQzNDTuSIgAiIgAklAYN68ed26dTv00ENHjRrVtGnTvHnzslxv8+bNTXSCr2xHwh9//NGy0q+88spbbrmlWLFiJUqU4EQazJ0799tvv02CqUpEERABEUgSAjJCkuRCSUwREAEREIEMEcB4YEsQfBq9e/c+6aSTQvsoV66cxVnh+rCEkB49eliKCI2LFy9epkwZCvKEhKJTjQiIgAhkmICMkAyj04kiIAIiIAI5nQCBWJMmTVqwYEHr1q1btGjhJ3X8+uuvJj37gbBcL2XCtIi8atCgQeXKld3E2LvQWrJ9oatUQQREQAREIJMEZIRkEqBOFwEREAERyLkESEafPn068jVu3LhkyZK+oLY9CNuiV69enXoSQiwWi6x0ArFcy23btq1ZswazxNbzdfUqiIAIiIAIZIaAjJDM0NO5IiACIiACOZrA5s2b161bhwnBWljm7jBx8XhYDjp+D9sZnQV5V6xYwVFqXEsWzpo/fz6VJLUfe+yxOXqqEk4EREAEkoqAjJCkulwSVgREQAREID0EMDbwY5QtW7Z8+fL+eV9++eWMGTPIOG/fvr1lpbNl4cKFC0844YQqVaq4llu3bv3www8JxDr//PNdlog7qoIIiIAIiECGCcgIyTA6nSgCIiACIpDTCRQsWBBLA88GK2I5WUnzGD9+PLsQXnDBBfXr17d6UtIpsFE67a2GfJJ333139uzZXbt2Peuss9zpKoiACIiACGSewP/9KGe+L/UgAiIgAiIgAjmKACtf1ahRg3wPDA8TDNNi4sSJY8eOJVW9X79+5t9w0VmkiLiEEBb2HTFixHnnnXfbbbeZtyRHTU3CiIAIiEBSE5ARktSXT8KLgAiIgAhEI0AgVps2bRYtWrRs2TLMD3ZGf+ONNwYOHEjl6NGjK1asaCfv3r3bVuDFCGEFLZqRzt6nTx82FWGv9MMPPzzaGDomAiIgAiKQfgJ5+FFO/1k6QwREQAREQASSgwA+EFbpZZtCrAvislj8qnPnzkRhBZwbe/funTx58oQJEzBIWJO3Zs2abFPImlpsa5gc85SUIiACIpC1BGI0IiI1kxGStZdLo4mACIiACIiACIiACIhA8hOIZF0EZhapmcKxAqD0UQREQAREQAREQAREQAREILEEZIQklq96FwEREAEREAEREAEREAERCBCQERIAoo8iIAIiIAIiIAIiIAIiIAKJJSAjJLF81bsIiIAIiIAIiIAIiIAIiECAgIyQABB9FAEREAEREAEREAEREAERSCwBGSGJ5aveRUAEREAEREAEREAEREAEAgRkhASA6KMIiIAIiIAIiIAIiIAIiEBiCcgISSxf9S4CIiACIiACIiACIiACIhAgICMkAEQfRUAEREAEREAEREAEREAEEktARkhi+ap3ERABERABERABERABERCBAAEZIQEg+igCIiAC4QmsXbu2V69ezZs3f+GFF/bt2xe+kWpFQAREQAREQARiIJDvjjvuiKGZmoiACIhAbidQsmTJc845J3/+/F27di1YsGCTJk3y5MmT26Fo/iIgAiIgAiKQIQLyhGQIm04SARHIlQSwOrA9GjZsOGvWrO3bt+dKBpq0CIiACIiACMSBgIyQOEBUFyIgArmHQNGiRQ855JCNGzdu27Yt98xaMxUBERABERCBOBL4559/ZITEkae6EgEREAEREAEREAEREAERSJuAjJC0GamFCIiACIiACIiACIiACIhAHAnICIkjTHUlAiIgAiIgAiIgAiIgAiKQNgEZIWkzUgsREAEREAEREAEREAEREIE4EpAREkeY6koEREAEREAEREAEREAERCBtAjJC0makFiIgAiLgCLBPCKtjuY8qiIAIiIAIiIAIZICAjJAMQNMpIiACuZcAS/RWq1ZtzZo169aty70UNHMREAEREAERyByB/Jk7XWeLgAiIQO4ikC9fvhtuuOGvv/66++67S5cu3ahRo7x59TQnd90Dmq0IiIAIiEDmCei/M/MM1YMIiEDuIlCoUKEKFSqUKFFi7dq1u3fvzl2T12xFQAREQAREIB4E5AmJB0X1IQIikGsIsMnrmDFjcIaMGzeuU6dOefLkyTVT10RFQAREQAREIG4E5AmJG0p1JAIikBsI7Nmz55NPPqlcuXKNGjVkgeSGK645ioAIiIAIJIKAjJBEUFWfIiACKUvgjz/+2L59O9MjOSRlJ6mJiYAIiIAIiECCCcgISTBgdS8CIiACIiACIiACIiACIvBfAjJC/stDn0RABERABERABERABERABBJMQEZIggGrexEQAREQAREQAREQAREQgf8SkBHyXx76JAIiIAIiIAIiIAIiIAIikGACMkISDFjdi4AIiIAIiIAIiIAIiIAI/JeAjJD/8tAnERABEYhK4PcDr7Jly5YsWTJqQx0UAREQAREQARGISEBGSEQ0OiACIiACoQSWLFnCPiH169c/7LDDQo+qRgREQAREQAREIBYCedj9N5Z2aiMCIiACuZzAzp07X3rppWeffbZNmzY9e/YsV65cLgei6YuACIiACORmAjEaEWGbUSkjJDffPJq7CIhAOgjs27fvr7/+Klq0aDrOUVMREAEREAERSFECYa2L0LmGbSYjJBSUakRABERABERABERABERABNIgENa6CD0nbDMqlRMSyko1IiACIiACIiACIiACIiACCSQgIySBcNW1CIiACIiACIiACIiACIhAKAEZIaFMVCMCIiACIiACIiACIiACIpBAAjJCEghXXYuACIiACIiACIiACIiACIQSkBESykQ1IiACIiACIiACIiACIiACCSQgIySBcNW1CIiACIiACIiACIiACIhAKIH8oVWqEYFcTuC7775btmzZF198wftPP/305JNPHn/88bmciaYvAiIgAiIgAiIgAnEkkP2eEDYhPvvAi0IcJ6au4kXg22+/HT16NNu0xavDnN9P2bJlTz/9dCb+1ltvVahQQRtjL1iwIE+ePMOGDUvvtdu7d++YMWPWrl2b3hPDts+wGH5vX3311YknnnjNNddkzS0d+vvGyugYt88995wvVcqXuXm4hbiCKT9TTVAEREAERCBGAtlvhMQoqJplCwHUx4suugifQLaMnl2DFihQgKF//vln3qtVq3bIIYdklyRJPe5vv/3Wr1+/xx9/nF3Gk3oi8RV+0aJFp5122qZNm+LbrXoTAREQAREQgeQioHCs5LpeWS0t6uOff/6Z1aPmgPGIyPrss88Q5JRTTskB4iSlCDzyz4HmB5F1n376aTYChckvv/ySjQJoaBEQAREQARHICQTkCckJV0Ey5DgCxGKtWbOmYcOGVapUyXHCSSAREAEREAEREAERSAYCPJGMJGY8jZA//vjjxhtvJID+k08+cePxzK9Lly5EA7/99tuukmhsYrJR7z7//HNXSfj4E0880aBBAxpXrVr1nnvu2bFjhztqhd9//33ixInnnHNOsWLFSpUq1b59+9mzZ//999+umQV833nnnbNmzWratCnNOnfuvHnzZmuAZnnTTTfROUOcdNJJYYdwXUUpEN9MWPmXX345Y8aMM888M4rAGzZsGD58+KmnnkobXqGDRhGYyb7//vuXXHLJ0Ucfzblh5+tLYlhofMstt2zdupWrPnfu3AsuuAAIVN522227du0KTCo6EDqHFQ6Bp556qnDhwmTuuLwdu1hElSAYnffo0YNm/n0WZV7+oPTPFaEmIFj2fuRZ9ccff4wMxx57bMmSJWMXJvZLtnDhwkGDBnFNIfDSSy/ZEGne3mElCRttH5qK4N8q0W9avnd8NRCMO+eKK674/vvvQ8flWnP/c+24pf+9s/Pk4Wbg+8uNYY2J/uee4c7hxqArGrh8gBinGYsYYQVjRG5I+9ZE+sa5nBADxccffvhh1KhRNh1+hcjZQE5+qViWwH6UeH/llVd8x2CM5J2Q9rvXuHFjagYPHgwTJ0Ysd8748eMNIxPkunDzcIH4gvM19796dM5HH0Lg0jh5uFgvv/yy3Qxhf15C7yI7NzQ5x/9BCNuVG5TCpEmTmAgEAo4y+7OA8/r16/32KouACIiACKQkgXgaIQcffDChDlu2bFm9erWDtW3btlWrVvGRXEz3T7l9+/YVK1bUrl27YsWK1pJT0LbvvffeJk2aYEKUKVNmwIABV199tW+H8D+HkUOKwo8//ti7d+9rr72Ws84777wHHnjA1wzokD85/t0RhmYokcWLF6eSv2r+jJ9//vl69eqZjnXXXXfxF466bDKk6x3LZ+zYsRdeeCH9jxgxonLlyggc6G3evHlnnXXWQw89xFFGROlETppdeeWVYPGHCxWYyfbv3x+7grgg7ChOb9myJTYJ80UTciTp5Ndffx06dCiWHjAxP4466qiRI0f26tXr0Ucf7dChw+GHH26VCNm3b1/Lc7Ch0wSCQkZM/xFHHNGoUSP0rfPPP9+SJRC+U6dO1113Xf78+blYF198McYYmdyvvvqqLxijhM4LAxVjBkuS9kzKrgjvCOMDiVQGILcTEwxcNSjNmTPnww8/tEAXxJg6dSqX4+GHHw7cG5F69uuhZOZxnTp1mCM9M+L06dPRFP1mgXLsl4z7v2fPnnR4ww03EO5lie+x396BcWP/GMtNC1i4cZfWqlWLO5a8jj59+jgz3sYCL9caZZrriMrIdbz55puxJLkluGGYCM34CnPPcOdw/1BJG2qoj3GasYgRduLvvPMOtxZ3Ak8oGBT7h6/5ueeei8kUtr1Vfv3119zSzz77bKtWrZgLNnz37t3vu+8+rCxyWlDTrZIvFN/6wE0epdvAoXz58jVr1oxLTz0DIR4fqYz9zuHEF198kR8BfhiRrWPHjvzIMDsuhxsL8SZMmMAPKd9KRuGLT1ITl+byyy/3f3YoU8OseXjEtxirZvHixWF/Tl3PkQr8IPNbze9ViRIlGM5+mbkK999/f9hv38knn4yP8aOPPuKL4PfJI5ulS5dy6Mgjj/TrVRYBERABEUhNAvxjxfHFXwg6B8ou6pp1O23aNAOH8cBqp1aJisD/IjoKWhEPIFGvacP/38aNG63Bnj170NSpnDx5stXwZ4ZOQM0dd9yB2m2VPKijGV2xipHVYJZg29CMNXno3Cp5R8mof+CFhFbJ0XfffRfFHR0aF4FrGUuB/2yGYNxx48bxMI9T9u/f/8wzz1CDhmHi0Sc90z8qrOsT7ZZntJzLw2+rjCQwM6I3VAdQWEsERm0FL0o8KohVmiT+KIyLEskQfuXu3buxUjjXTT9GICYeGoZjToE5IhvzZdYmBgpo69atGXHJkiVR5sVdwb1BqjePaa0Z7zNnzkSwbt26uZm6Q35h+fLlXbt2Nb+Efy/RhnsDpZkpu3oeOYOOmhNOOAHt0+8nljLiYTdy+pAhQ1CjKdjLvxyh/aTrkjVv3tzd7TaFWG7v0EGpsXuA75R/1L5WfLMoWH0sNy0Xl2vt39jcdTyAr1u3LgTowbriQTVY+D5hELpBcZhwD3Cuk8R64/vIXWTNYvwWxyiGG9oV+IXhHvDZIj9fUoS//fbbGZ2WgVva//0x/yFtyB3nnuQsfpRcJXcFt667x2gWC/nQCwEfHyb9xHjnmMfMvzqca18fXyr655vIteBbSQNe7tcJuwWrkhr7FiMGFprVUMnzo0svvZT+sWH+Pe2ff0KFt/rAFPiVpiv/J5euEABcrGlhp/is7HeAgTCT7Ki985NCP+433z+ksgiIgAiIQA4kwJ9smi/05LAv/pTj6Qnh/4M/P3QO1D73xJ0/IZQVHqKjuDi3Bo/ceGJNPU55zuLFHxIP790DsCJFirRp04Z6/vgPHP8fHpLx2LVt27Y8ZitUqJBVopKiEJcvX55/cXv+avXIQCyW65zLNmXKFBQLhuAhnLXhaIsWLXgQiHsBL41Vpuud54iYGXnz/suQ5+WU0f4R0jw/rH6DSLhKeFTsumWaPLbk4zfffOMqKQQERmlYuXIlCjRqNyisJQKjC6L88QeP9eWfjoFhMR5U8jDSVEaekrpKwjZ4vuicVJkBgguLOdI5L2ZtYnDdcTr9P/buPN7eqe4f/88dDVIqQ5GPKKUMlTKTTCWzkhQ3JUSGhGRK5jGpTJEKmT/GyDyXIjI0Sz4aDMWHQnOk3/N7r/uxWvd1XXufvffZ55x9zn7vP/ZjXeta4+ua3q/1Hhb+w+jOrZbHVpmXiw4cVzlJeKmY0ZKVSUIkyFyxnmD/RlFGNeGUZs0ol7Gma1W1zH/hC19o9Z0YZLQVrHKtNgm1OIQogLNZ+bZUfPrpp7t2xFmUsrFit5fMOnEZ+ber27txAB1mtr9pXR1XcOONN3YnpxvbXeeQPWHZvphpzlJd0jPkfI/hGmus4RK3Ma7rcJodDiN3nRMIgwvHiM5TkDKNH9R4u7uL5J1LVhLp/UNtmPJRUGpA6R133DFnLrzwwtRW2tdLpfpoDru9c8qro18vNO+EPCry/fTp092x7n9PZRpYfjtZdknhkiHsKfbeMMGk3lRSZGpk3nXUAuVG55NKb2maZ2inWpryoqOC9s6pt0NnTsfrVvHYehelAt6WuA2laISCqCMWOYFAIBAITEkE+kxCfPuJib5JzGPg5avva0eYxijY4SRLX98eq9oVl1/+IfmTmYBmWFwiTi7EIjQ+zzzzlPlqLb744s6WXzvf0WT7kUpiRL52hpEZSMr3bUaEjAcpKtvsMG1S+futShb08QeHSyyxBIugY445piwjvzKv1FdlwLPNNts+++zD8JrlWCqQ/n28G6v7/DPqyCVZZEmDpcycY445coHRAGJUoHb5MhVMzRoDhNG5zD/lV+ZF1FtsscUsfx5++OFoGPasjEyCvsXXTEHzOCsJZIMUK7Okrw4BnrhBme/GYHRuVAhJpZ32h0hUuoKoDnsS8qjLQaJik+NWSaqeegvdXjLNZolNa13d3vXeO89pf9OauIuLNmfqq2U3MHZRdgEKVkCUWuUUFCgfurJ8Tnc4zQ6HkZvNCbIvYNkmsUVMGgynkL0rr7zy2GOPdaflkpXEa1/7WvdqznTPOHQDpEcp5Xtd8HLJZfqV6PbO8aosr07lnWDWmLNnnxaiHKG3U3JjS+G2lUlPcUnmlV9kkUVQGg5RlVWSsql6GlAyGWK5K/CfVIBKzVvXrVIvL8cI8Q0vk7xGgLt6w6O7mfU1VozMQCAQCAQCgSmDwP+uZPdrPqReEgwRk80DiZ/qAwlhKuD7Z/Hb94/ygX05g3vr3yWdmHvuufPiZeNgZsyYId9/slrJZawj+ppiOCRUX9CUT4AoRU+LoDql9+FNURGdmcSogjIx4Kmcyl00Jsg69Y8lUSa1VlbRrw+tBUi9+OgynyjPpnRlwGUBRkoMXYwTc+OFr4XUS1mGD255OGK6Z0BIGMlNmSwO9rIjAFo9tZzJzjtfysq8CEzWcS3H8pPxwxCoj8j3bg+nytYa00RYK74V+mrplxuA8pV8ORZideHWamytVaZZgNpZ68R5pd/tlCRsQh6lTftbpZNLBplyAF3d3mXFrtIj3rRp7aB+g5l7owTvfnC5LS6w7vvOd77TSk2UB9nhNLsdRm7fFecKIijFXv/zQ0qpIvEugjsKkYvVE9hLt/dJvZHR53Ry55S8qN4jAyqXwxUUEgC9KQsk+uFKyUzOGBWiIh/L0r5Hm1azrNs+jTlQi+F+jG9pp2kgHXoe83ugXt3Lk9cKly3OPwl5zMdbDt0tl07qFSMnEAgEAoFAYMog0O7D3NskiX0WxrAC8qWPGcGRF4cPm6UvhIRuxFeHqoShUVfLij7PxpPjCHU1NlIj4ZiRGAfuriq2KWzwFRWHwpUZEVg5NFvmz1/0BA4E2rScTtESUKRYiSfbpRxSoM82sTivNY7YSKsCPQNCS5BsWuyh3th4WhNtPJUyrbOSVDjXupRwEDrMDyyIK5u9ysp62Y5Zu6nk0LeUK+7YHVeZer4cdOJlL3tZciMpm2qfJgG7P3Fmxmx5PJhkmrhL3EpIGs0lG83t3X465dlOblrlK7exHNJkhZlggy7cxRdfTDuUuiDx0/4l/lB2Wqa7mmYnwygbT2lLHoZxyimnCIpgZd2Pw7QlD5qQ0jCyXnECc0Zz51SG7dH21vWzWlE5VT9sdScrWXEZr9ctcywn8elnKyukmEUWVot+3ldCGiCDpd4m19I1p3wkxMIKuuLhYovlFqIpzWUiEQgEAoFAIDC1EeizORawGD+Iq5PcQghzZBcMxAol2ZG8SC6kBvF9qhgajYhyWsjM/tx17xzSbatGfPBUL510K9VF4Wy/tl1vmdyQrZnz2SSnpkOaGRG6RO7yiSVzW1ynfwAL34lcvlVCy5Q2/FVYH4lQxH6J/sEa5wUXXJBM1VtV7DC/Z0AI5UlwITFUMEyHtoHDKNoPw/0gXjBGym0GMpgVNsK2J3GMVnVNPykomOTli4UbiDEKVbW0k/MdGo8wuFyDGpfwW/UinxKPDGcWpbKCqJ1UQPIblTajvGSjub3bzKVyasSbNpUvb+OUQ91UZgJ8iy22wEAoGcj6LiV8rGQLHlXpsXLY1TTLHhuHUWk8HbpFLfAzg/S2oRMg5nrzUNyl+F2NVSY2c5R3TmXwHk83fBlJIj2Y+Z+Dfq5Sum/lzJSYNm1aJaf9IabBScybylsOr6BFVB5N5Wuu68a6+AbWwYBTlWyLVa4vNNaKzEAgEAgEAoEpg0D/SYhPYHILIczhGyxAmDqQ20hvpEw5mAlLLV6eXYGYFmJJFa0+aW1a40dhDPQSBNk2xbo6RcNTXyxMhtRsPzTleyzMC9cOshqJjcURJkZCSgZg7ftivmUpkRDMS9iHnImCNAwtc3ZSvX3jzvYMSLKV10Ib5+MRe08FeDbjq5BhPCNOmhX09iTEpVeAgqL0W8V5xG7SoNuMrFl2zRSQ/Qmn5DJzxHTWt7iHS/scYrfeSbfZ17/S1Cgv2Whu78pI0qFb3Q1fOTXiTZv8sur+ABg11UdqzQPIp5mGAcEGPhd2sCSPo+SxU+m0POxwmp0Mo2y2MY3wMFO0GM8zQQw9moE8hcby/cpsRL5N46O8cyotu2m9fzxNdL+VU+VhkvUTey/zET8X0VPWqL7IJds8/t5ynD0EchAsRDuemqT+ynVzwjuZMiT5n3iQvdmsE6U1jlwmEoFAIBAIBAJTGIH+kxBg0XL48BAuLZGywkq+j8lQx5cJCalIeJ3gy8SCrKPNypYFFq0FWiEJtZEwDIACQb/8JischhWBUzYps0jcyTDKMmhGuZTIIdvSu0EaqmJJkrPal1Z/U0Ur92hY2UhjmlxiXjQGFV9ti/F1AbGxhfaZowHExcUzmVSVDui640zslN0V2jA9Gg8xTwXk4UCSRwifThhpiqjmdgJLqotmWPBOcq27K0muuVk2WphJLpzz2yfEMiapK1O6qbhqbjyL/XZdyH5HlXZGeclGc3unG8wAyiER6RpvlfY3rdUBN7DbuLy4bvJsE6iLzITd29lcTb4q1h3KMdTTHU6zk2HUG5dDQUf3xUO6fMzJ092u6zc2Xs/sCvl69ZQzyjun0iy5HxvHuCoR/1xEcRo4b9CmqoLJK1m50PKpj9TNT5OVAnN055dEQlOlQSm2IxKXsMhlpqa8u9qrNdw8amlZj7gKVbaFqsp04jAQCAQCgUBgCiMwJiTEsr0P4QknnODTQsRPkgpxkGwhljy2INFo09IGaN8nTIOinzeCj2IqyUrE5oNi7ArK2UbctLrGUpx0ZUi+u1lAsVLOdpzDhu9fCkjaZgD1U0yJ8l7F5FQjkWOQ6VOaArAqkJck8RxGVuL21Juq5CAJzKyT1iifYrxEjKgvXuYCnSc6B4RDhZGQk7IjCvN6c6TesdgJ/9SpKwJbRi8s8Rrjd6VihBKONHxdLE7nq8AY4+qrryYSoaatpoC0JBHHKm8yrwI4A3RQJyNyfKMM/wUr0jabkG4XVi0DY1MGg+3kweDS5st0hJVL3REoFRvlJRvN7Z1UQ4JQ5+fC9N1m+TBPRKL9TYtiIVrK2Pscwsq7TO5hObkRT24SLj2MqYxT7gQ3QFlMJr2Z1W4KwyzCdjjNToaRx1MmvHk8ZaBwEXO+a2qoLl8rAplLdpvoCvncuAfE65FhanqmRnnn5GZTAuNKRnH0VJkT5ovocUhj9tQIEeF6uWr5KU4+bN4wDEHTU2xsnmjvTCEH0jJNbir3y3UH31CAYV5uSmE51n2Q+fLBzLVSwjCEz8KLvMPFLGnz6qhUjMNAIBAIBAKBKYBA/x3TgUJG8ZX16SIa5sBNfFuJIL5MdcuZTnC0IGd7aaoA2wyTYjlBEgetdlujtbhuU/BW0mFq3HjYNdlwndqEIbulPuY9559/vuBaHEKQolSMpCuui7RIL0bbfmA+vXyptWZ9l1QtRhNffC4faX1UR7ZLR3KIAr6vPs/EYp95zg8kWmJim3hcRDe7himpQT+KAkKVWQs7Y69DZta0DSMOr/3gOwSEhEGwY37DpB5K9m4nl/DoMBEzBWCaGrMxCgR7+RleuTpeGYN7gBqETgNubMzwGeYfqa7L2sbdRbFkAQIZom2ic24GmwkmG3feIJlvEL459Nv9sNQj4VFEK2zHYnkb96EUutS2ElmvwhIJ9zMAcrlbtzKjfDjKSzaa25tY6SZxV7h7XQ4aCdeFh4zMUqGRhtr+pvUQeZRI7fyJAWXhHFF3Y5tdnmlisK4a5BllKYNGOnRdmNXJzBoYdwIVBJ0evyYKCuMBYCdPcSfDyOMpE66am5AvFjsfDwsm6UmBhoUGj3l+F5VVRpPuCvncEYMlsaFwePhoQfyu/j7sTBBtQcgQ1H2e3h7IgItoQYGOKIHgefEUu7cVE7843zbsuMQRwU/SU+xaGx63KzsseXa8NjXF9VxYEbQhzUhJ40fzNMUAFanw0kjvQ29mD11qKk+/TIgbwb7RFopofxkHIj2tXjKdvIfLBiMdCAQCgUAgMJkQsLI1Fj+ffCiQA3z+c/uMZ2SWm/s6RUpgCuwnkUtKkIEUzps0p1NMQSybkRHTcjhR48QTT7TOmiuS+H0pW/llIh54SBLfyStsh9gik2gr1bWgnZxZT6Tdf32MfZ6tsBqn/8pI1CLMIRJJnLXMnzwfSGwQUJ6spkyrAWNHRH+SusZJD4QJsoLp+8zLscyZhl3uQ5zHmWKIVZz4GzNHBESb3MGpPnSKhNBipV5gbr7wl+9auCKui+HlMbSalwJlp2lqjJ3YeOS69QRhmveIvuxNSTTBMZAZkoqSSbPk/iGCG4Ble0wp6bvKdtJtpgX3VZlfpq1Mp53XSUXSThmqdWX3g1rlfVLWyunRXLLUyIi3d+6rknBTuSXSje3WopQDjqegfKw6vGm1nC5uvrGxrxR/rHwYqense+jygdRt4CpAGFEUhsHdkp96wyCbpmLUgF1Ns5NhVHBw6DJ5qD3a6bmrP+aVO7Px/YNzQq/yHmjMHBH5evtG6NWBJYIuvSE7vHMaH+HGUVVAcGN477mZK3CVT7Fr5IJ6cOpPIsQ41SjgSfciUiZhWN4PZVPplqi8DxvfVMaDx2Ig5T0jM4FWwb8y+DgMBAKBQCAQmHAEfG5G/PmsNP4YU8xiAr4Z8csI8DQg6fpktlE1oBNWxwmmbdbUc4OR6AsCHFit3WJEiBkR03/SONF7kJIJuBZxqVYoptCGRrsO4ho3ZRqSNlfNs0QqYuhFA2AZmNSFMRK86H/6MosJbCRu2gkEP7puhQCTXTsF0b9Zr2lVJvIDgUAgEAgEBhOBTkhEqzLyx8QcazCR6mRUZFBWB6RPi3OdlI8y44aATR7Ys9W7wxP4xfrVT5U57vW0G1p7H2WuQeyL/Mq6kQ4EAoGxQMBTSXXJKIvl6li0H20GAoFAIBAIDDICY+KYPsgTbj82ZgBW5ki0U2Dlu/1Mh+0sSycRvSy4tichwwZLzDcQGH8EcA8WaP65YE2fPp1HSt9jBoz/pKLHQCAQCAQCgW4RCE3I/0GMS/0XvvCF/5MVB1MCAZ64fN+nxFRiEoHApEeAi/yBBx5oGpx2PvCBD7QPKzLpZxsTCAQCgUAgEGhCIDQhTahEXiAQCAQCgcDYICBeFhMsnu688/lfCWYwNv1Eq4FAIBAIBAIDjUA4pg/05YnBBQKBQCAQCAQCgUAgEAgEAgOIAMPaEUfVqoz80ISMiF4UCAQCgUAgEAgEAoFAIBAIBAKBfiIQJKSfaEZbgUAgEAgEAoFAIBAIBAKBQCAwIgJBQkaEKAoEAoFAIBAIBAKBQCAQCAQCgUA/EQgS0k80o61AIBAIBAKBQCAQCAQCgUAgEBgRgSAhI0IUBQKBQCAQCAQCgUAgEAgEAoFAoJ8IBAnpJ5rRViAQCAQCgUAgEAgEAoFAIBAIjIhAkJARIYoCgUAgEAgEAoFAIBAIBAKBQCDQTwSChPQTzWgrEAgEAoFAIBAIBAKBQCAQCARGRCBIyIgQRYFAIBAIBAKBQCAQCAQCgUAgEOgnAkFC+olmtBUIBAKBQCAQCAQCgUAgEAgEAiMi0GcSctZZZ83Swe/ggw82slTY/4ijnHQFvvvd74IhTdPgf/GLX7z1rW/dfvvt//a3v43FXP7yl7985Stfuf/++9s0PnZom5SpmaBpthlA46kHHnjgox/96FxzzQWuD33oQz/4wQ/GFKj6GEYz+HprkRMIBAKBQCAQCAQCgUAg0AkCs3ZSKMoMMgJ///vfP/3pT6M973znOwd5nPWxPf300/vss88VV1yx3nrrveUtb1lwwQVf+MIX1otFTiAQCAQCgUAgEAgEAoHAFEOgzyRk8//5ZYyeeOIJGb///e/PO++8RRddNOcPW8Lc77nnnjGa9b///e9//etfIzZeuTQjlh+HAr/73e/uvffejTba6IQTTnjJS16Sehw7oMZhRtFFIBAIBAKBQCAQCAQCgUAnCPTZHKuTLqNMIFAiMPvss886a5/JcNl+pAOBQCAQCAQCgUAgEAgEBg2BiSchFvJ/+MMfJseAl770pe9973tvvPHG5557rkQqldlmm20WWmghzgOrrrrql7/8ZY4QZZnGtHa0pk0tq7vddtv9+te/5qqhEfZLqUpylrjuuuu+9KUvKeP3uc997p///Kezujj77LPXX3/95LTglDEYrfGU3c2cOfOII4544xvfqBcTefDBB8uz0o0+If/4xz8uvPDCtddeWy3tf+ADH6hMPNUy2ty+YS+//PInnXRS9i0xC0L8ySefbFQGUM6rMoa6T4jZgRGYajUOoNJCOiwhffOb33zuuec+88wzjSVBvfvuu6dRve1tbwORiaSSVGTvec97nDJsgzeF5FJSAaoTBHLX5XRaXanOB5+bTQlX/Oc//7npmAi4/BpvwnIMnUNa6SsOA4FAIBAIBAKBQCAQmMIIJEF64legeVT/9Kc/XXHFFUl4v/3tb88///zrr79e5gc/+MGEvoGec845XJ9f8YpXrLPOOgsssMCtt966ww47ENmPO+64V77yla0u0rPPPkte53WgIvrxghe84NJLLyX7EnnrVfbff/9kPOZ/nnnmef7zn//oo4/uvPPOxrPGGmt88pOffN7znqffr33ta+jK6aefnh0wCMpbb701MrDJJptstdVWpOpddtmFj3W9izKHtMqR48QTT1xuueU+8YlPOGVsG2644X777bfrrruWmoE777zzv//7v1kuvf/970/FPv7xj0PsqKOOetGLXjTvvPNiKVdddRUP7y222MJM5ZQdtUr/8Y9/NDudmt2hhx7617/+VXr11VdHFVyIcgBlCyD9whe+oMf5559fdbK4YXDtqJBGVW6++eYPf/jDf/rTn9Zdd90Ey2GHHfatb30LgIzTXAtWWPxAzjjjjNe+9rUuyhxzzDHnnHM+9dRTZXcp3R6BVMbFcom/+c1vms5BBx1kSC7cxRdfzNBr0003NU7FOh98ZQzuQPaEO+64I5sxd6AGH3/8ce27CX/yk59A4MUvfrEqnUDqblFd4SE3UKwgHIeBQCAQCAQCgUAgMHQIELDG7kdWW2uttciaTP/rvZx55pngJtiRRHk1pAIYyHzzzUfgfvLJJ1POLbfc8prXvIYsa2U95Vh6/+pXv6oicZlbdr3llHPHHXeoSLJ/6KGHUg6Cse2226ZrrNmUmYbxpje9Kak4Uiap+otf/KKShHLdpUyDPO2002SSd0ntMv1Ll1NQkc5hmWWWUYw0nCqaPhByLdIwyVWBAw44ILWjWBqbpi655JKylmJYB6k6ZWIjoACRQFIpJ42hFcipjP80Tf8ph7yuZWTPgFNOahkOBOtcq5JALXRdQsrhB/vCK8oB3HfffciVXx6kXjiguxwK/+EPf0jNVmCRWclJh50gsNNOO4HOXZEvlrsFUHp0G6TuOhx8ZcoOf/WrX6200kqm87Of/Syfpe/Svk7zjdQJpGlGJVa5wUgEAoFAIBAIBAKBQCAwiRAg3Y34IzzXfyRhv4k3x9p4442ZS/3Xf/3vSN7+9rcT+H75y1+SbkmfbJamT5/OOIregEApx886PVlWLXJtq7i0qrCk8r/bbru9+tWvThUpCkir5Ox0WP6vssoqr3/963POn//8Z7qFNddck5VUVgsYJCMcShsCLtFfYVIpBUI5BYvuDldYYYXcVD1B4cMQa4MNNsAuaDNSgTQ2eh4khJ4k1zLatAafcl71qldZ7E8u3blMDwmMSy3kIWkJpLXM8Iw6QuONDQLT2CBDB5IhpYn61Kc+hSPlKh6eyy677Pvf/75irmbK18u73vUuzvGUNnfddVcu3EliRAR+/OMfw3Oz//nli+VuoWJCeFwgd3+Hg28cj3vMpafBYD+WC7hSLgRVj5shZXYCaQpRwPleIjcViUAgEAgEAoFAIBAIBIYNgYknIW94wxuSNUuCnh0UY/p8GVARq+mLL754hTnwo+BFwEzfsn0uXCYoYe6+++56xUUWWQTJKUumNJk18wE5Vri5iFx77bULL7xwWZjVkFM5h1kUkZ2fRjkFtkbE01ymniA0k9GXWmopdl/lWWMwYGdLGsBaie1TWaxDg6uySj1tMV4mQ6xvf/vbBPRUgK6GyRnqVS8vh62UseEVlWtBni4hRUg0suSSS2YGklpDDygTSO233357Y/utMkdEgC0cxJDD8gpqzcAMA+cxpA4H3zgGgECJmVwmbKlY5UL0AGljd5EZCAQCgUAgEAgEAoHAlEdg4n1C7A7RBmVcgjEMMZT78myzzVaWTPSD5U+ZmdOEXTb66AHakDMlOIQ09tiYqbx1fSKsMTz88MMMe2666SZWPWzMUpu/+c1vJAwvHeZ/4mnJVXJ+SsyYMUPCfzLKymeZEhGmuUDwcECWUr4V97HYPYOuxtI+z4RrrrmGEoZlkUNy/Mtf/vI8nkqCVoFnOWf0ytSQLvOlvErl2dE98sgjtGx81iusgF2cMkDjWF85VemrPGyPAAaVIgG4OiV504Je3APUSo899pjDTgZf9ltP60tTbgZ33Xe+8x03Q1mmB0jL6pEOBAKBQCAQCAQCgUBgeBCYeBLSHmsuHyRLvxzMqn35fBZ7YR6DhOScbhMswXh38Ayx/J/qEtb5o1f0AE7VPd2J8nVmkgfAokk6OWnkzHFOUMLwEWcS9vWvf50fDrccP+yCV/1ee+1VKnYqAzPZbPKUTuFITLlyMZeM3E9JdeCBB+bMsUswtUqmcccff3xjL0lBkU6NOPjGFmSiWIcccghPd+Q2laHVWWKJJRILTTk9Q9qq08gPBAKBQCAQCAQCgUBgqiIw8eZY7ZEVk4pknF266846wkk1tsCmiylO46lOMi3kox/CXil85JFHssZhGEZBccopp9R1JkkILptFYOqZuUAS4rOPeH1SpXVTrtX3BKbBjUKwL7oLoca23HJLXRC1uXcbUqvuzAs45Vk0IIcMlu+SmSBlER5Yn5ocIcs6V4OUHTWmmUjp0ansIF7ptHTAGHHwjV0gVCKPYSB2dr/ooos4AqEit912Wz0GWm+QNnYamYFAIBAIBAKBQCAQCExhBAZdEzL33HNzGrHebHG9K8k1bb7B5InaoaxIDOUXPuIVVVFc4NVWW41+IDthq8W8h2xtVKmF5CvPhb3SILqSzZMqpxwmJQmrHuJyxc2gXngccjijc7j3E1RXOGD2YECr2FwZBkWQxX62T0Tw8ixIk51VGir6RzEiB1Cle88YTYQehr2WxjmItyFvHQ6+PkjXiNc7Hx6RxOwSU16vNjdSh5DWu4ucQCAQCAQCgUAgEAgEhgGBQdeECAhLocEWqxJSyer7Zz/7WVb4F1xwQeN1whN4fnMct4xdFkAPsnlVmV9JJ2su/IfwWp7CN0ovlOSl/b3vfa8MD2VsHAbKWpU0Mx42XTfccAPfifIUqzN7F4r61YbAlOV7TmN0oo2hWLatKBtBtyrO1uVZUAAcRakEAyCLCx6QS6J/dvRjC0d9RILP+RIMwJzi8S+gW5k/yvSyyy6LFHFuKa+CNl19p6izXM0OB18fCeuyRLEWW2yxkoHoS7zdXL43SHP1SAQCgUAgEAgEAoFAIDBUCAw6CWHfkoxePv/5z2eZj2jLO/wb3/gGO5yll1668YKJssXWyP8xxxzDpzyVsYRvN3Sr2o1VysyXvexleAKTmxyA1VnCN+aTvQLkcB+3e52R2Ho8GSnlsZWtVdKiNmEaLKC4MeTWWHDZhEQE29e97nV1i69KC+VhcsngMJ1cTcpTrdJcI/ANftWMi/SbiiEGcpAHYccq3vypALT5kJDmgZCpnfHbEDAfKqmYbV6gJx89yzwEeozZeLfTV+SIzK1G2FW+XVngyVzKJpJ5OmlgvNV50lPIdDj4er9uoUTMXK9sh6YXs3Pdc/neIM3VIxEIBAKBQCAQCAQCgcBQITDo5lguhm28bbZt43PCq+1BxMwlKNt7mzQswuxCCy3U6oIRpu2wYXvvVFEQJ1tGWNgWBpfTQjapaqyOJ+jLboNUExIczYmzHLg5TmAIlCHJ1kibe+yxB1UAZ24+CRQFRG1jKx216+3r3Rbs7JrshHj55ZeT7LUjHDD9o4Sr0wAAQABJREFUiX0ANeiwXqtVjuX5adOm0aLsu+++djsx2nLDk8ZaqtiQnlQNVVvsCUFLhhZX18gNwG4e5ZJ/2QLNjzFDNcGSIAUFhVVZjPKKb4kdWhTjR8E1nO2ZLcaF/+IQUgndW1bsLU338pnPfIbTjo1B9GJDEiTBtabysql5tqHqcPCVMSROpTXeR+irS8yFxiHu59aSmYzxOoQ0dkyvwBuHgUAgEAgEAoFAIDCcCAy6JsRVIbKTegnoVrspCoj7TLNsfG7ZXqyqNpdNRVuqE7LZZYnwyxGctG0fvZVXXrlNrXRKXR3Rb6ATRx99NH8Aq+lXX331scceSwzFgpj6pJJ26zv11FNPPPFEEWDRACKpwLsO23fBuYJagC0ZjYQ26RYoB9QSj0uD7evWz0IGnUCTDKBit1YvnHL0oi89EqZxORWpDkYcAFFbJF+GZJihsFrwoYmiTsGjyo4Ue9/73ucCuUzGA0kXziBdRHqtVgynbKHbNN5lGMYPRmCCFLDgpQfLkb46HHy9a7oUrkFbbbUVxQ6g7HNiy0uMlLe6oMa2o+EppFZvkNa7i5xAIBAIBAKBQCAQCASmPAKzZGuZKT/VNEFxnOw6x4fBLhZ5L44hmXtMMxAIBAKBQCAQCAQCgUAgEOgLAp2QiMYyKXMSaEJ6gymRDbGe0k52uRGL1kxi2HTRReTMSAQCgUAgEAgEAoFAIBAIBAKBwLghMGVJCCsjnhIsjtgO5VhMXAX4LjMTYpHFkWDcUI6OAoFAIBAIBAKBQCAQCAQCgUAgIzCVzbHuv//+j3zkI8L78o3myCFybnL+5qzMbSO7CmQsIhEIBAKBQCAQCAQCgUAgEAgEAp0g0GhqVanYWCZlTmUSAoUnnnjCnoMclIX0tZWEMFliJeEkXYWfqqAZh4FAIBAIBAKBQCAQCAQCgcCQI9BIMCqYNJYZChJSASIOA4FAIBAIBAKBQCAQCAQCgUBg9Ag0EoxKs41lUuaU9QmpQBCHgUAgEAgEAoFAIBAIBAKBQCAwIAgECRmQCxHDCAQCgUAgEAgEAoFAIBAIBIYFgSAhw3KlY56BQCAQCAQCgUAgEAgEAoHAgCAQJGRALkQMIxAIBAKBQCAQCAQCgUAgEBgWBIKEDMuVjnkGAoFAIBAIBAKBQCAQCAQCA4JAkJABuRAxjEAgEAgEAoFAIBAIBAKBQGBYEAgSMixXOuYZCAQCgUAgEAgEAoFAIBAIDAgCQUIG5ELEMAKBQCAQCAQCgUAgEAgEAoFhQWDWYZlozDMQCAQCgUCgVwRmzpx58sknzzLLLPvuu2+vbUS9QCAQCAQCgUDgPwiEJuQ/WEQqEAgEAoFAoILAX/7yl5NOOum9733vfvvt99xzz1XOxmEgEAgEAoFAINAbAqEJ6Q23qBUIBAKBwFAg8PznP3+bbbZZcsklV1555aGYcEwyEAgEAoFAYFwQCBIyLjBHJ4FAIBAITE4EZptttsk58Bh1IBAIBAKBwEAjEOZYA315YnCBQCAQCAQCgUAgEAgEAoHA1EMgSMjUu6Yxo0AgEBhGBH73u9999atfXW+99VZfffUHHnjghhtuWHbZZd/1rnfJ/9Of/nTEEUfMNddcO++889/+9rdhRCfmHAgEAoFAIDBgCAQJGbALEsMJBAKBQKAnBOabbz6U449//OO0adOuvfbaH/zgB8stt9x111134403HnLIIQsuuODiiy/+k5/8RIGemo9KgUAgEAgEAoFAPxEIEtJPNKOtQCAQCAQmEIGHHnroxz/+8U9/+tPHHntsp512ovqYd955qUdWXXXVNddc8wUveMGrX/3qF7/4xRM4wug6EAgEAoFAIBBICAQJiTshEAgEAoEpgsDtt9/O8mruuefeYostnnnmmcRG1lprLRqSBx980CFlyBxzzPGLX/zirW99q00/2vy++93vThFQYhqBQCAQCAQCA4lARMcayMsSgwoEAoFAoEsEOHtgFy95yUu23HLL17zmNffdd98vf/lLDGSzzTabddZZMRDOIbjH8573vPnnn//4449/9tln2/Sw6KKLtjkbpwKBQCAQCAQCgVEiECRklABG9UBgEBH40Y9+9LnPfe7xxx+305z/7bbbzlYPbexwCKyE1CuuuOK8886zlJ6mxMXZ7y1vectSSy3FkifP8x//+Mdpp532qle9asMNN8yZ45D4zW9+c9ddd/Fq8P/kk0/aQa8UlB9++OGjjjpqt912I3+Pw2AGsAvOHkjIKquswjGdikP6hz/84bbbboty/POf/7znnntcyte+9rVGjqjEph8DeAVjSIFAIBAIDBUCYY41VJc7JjssCLzxjW/82te+duWVV958880XXHABdrH++usT01vN/w1veIMtsQVQWnHFFVOZffbZ5+KLL8Zell9++ZKBzJw5k7MBKXbddddt1doY5aM9xOtf//rXl1xyCd9rsnXZEW8HDGTPPfe89dZby/xJlP7tb3+7xx57nHLKKb2N+Ve/+tWdd9650korzTPPPP/+978R0de//vVvf/vbqT6eeuopviJLLLHEK17xCoSkt/ajViAQCAQCgUAg0EcEgoT0EcxoKhAYFATscu1nNFbEF1tssX333ffee+894YQT/vWvf7UZIp3J73//ewVwjHXWWYcNT6Xwo48+mmjJBz7wgfrZSuG+HyYu9PTTT2v5TW96k0FWuqAD2X///cnxYkNVTg34IWrnGtE4HX300c8991xvo6UjUjGxDihRgwDETyZ6Q9P10pe+9Pzzz2eU1UP77e+cHhqMKoFAIBAIBAJDjkCQkCG/AWL6Q4EA6VZwJPqQ+++/v82EiaokVwUIsgsvvHClJMuugw46SH7yMaicHZ9DFllphEsvvXRjj8iJQe69995k7sYCg5ZJuJ8+ffpVV121yCKLlBqnbsfJIeTuu+9GOGk/1EUmOYRwQ6f6cEgZwh/973//+xprrJFoSeftM88zPD4kqlx++eX0Y7ho59WjZCAQCAQCgUAg0IhAdaWzsVBkBgKBwKRGgNKAbHrGGWegGaUfRWVSdpZIOcq8/OUvL88y7xHpVcSkc84550UvelF5ajzTbLHI1mzG2I+16pc9kh+VArm5jRtMq+rjnI8eUCvp9IknnuCQ05uaQnUXhZNMHrwryAkkH/JH5/aTD7tKuHne8z+/rmpF4UAgEAgEAoFAoD0CoQlpj0+cDQSmCALJI9lG2q3mY8H75z//eTpLhK0wjZ/97Gcnn3yySK+pnVaNjGk+pcFtt92mi9e97nVpgb+xO/qEDTbY4MILL7zmmmsaC0RmIBAIBAKBQCAQCEw4AkFCJvwSxAACgfFDwGYRrVwO/vCHP8yYMSMNhTlWOSZqkKuvvhpFoYJoZTKkDBMgyhbmOmVd3OaWW2656aabWFKlfERIyCa/bq16+DlwttYI6zIeKdqk7uD+IVpX2aM0oyxToLThkF05FYeBQCAQCAQCgUAgMAgIhDnWIFyFGEMg0GcEmF194xvfYMGvXQY/Iu0m8oCBYAuNnSEJ3/ve95zCNCpuAyyFyPok+0YjKGe//OUvn3nmmWLCzjfffJdddlnZPt3Fu9/97pSfmr3jjjtYdinzjne8w44WZeH2aQwq2RShFnQyeTe9HXbYQXDe0vKKLRllDjqk/DLLLNO+2TgbCAQCgUAgEAgEAuOPQGhCxh/z6DEQGEME0Iyzzz6brsBmGoK94hWUGJQPwte271V011SAc7MYr2Xh5A7+yle+suIoksrMNddc4vlusskmDu1EURIYBlQ33nhjJZ+t1AEHHCAz60akO/kJMsshREm+K6eeeqpQs6effjqPBeoXWpGyBbZkIvY+9thj3/72t8v8SAcCgUAgEAgEAoHAgCAQJGRALkQMIxDoAwK0HOeee+7222+/wgorfOELX7AvhBC9VATvfOc7U+u21/iv/2p46tNm26kMEjL77LOXoxFTi8M0EtLKFkvgrMQokJ+SqDC4Srt2lPkYwic+8QnbkojXVPbSPo3PpIBXeI59GPnZzzbbbDY/EfWLxRftSkXDkxpHWkytfctxNhAIBAKBQCAQCATGH4EGcWT8BxE9BgKBQF8QoM2glOC0ba+MUiORG7ffH1qSD3MibbadDlGXnJ8SjzzyiETee6Ry1qECyVvDzoasv3IBtlhJR1HJf+ELXzjvvPPyL88lR0wYoRC0irHgshVjKp/akeaOIv5s2Yj2HVKG1D1GymJTL/3ss88eeeSRrnIff2ISTD2gYkaBQCAQCAQCE4tAkJCJxT96DwT6hgBpm2ESjcTGG2+87LLLlu3++c9/dkh7wDejzM/ptNm2w8YdQlL1XLie4A1i+w46Cp4Y+Sz1SPIPqeQrgDAgFQsttFAuPGIimYQZ/8orr0y8TuUJ3H/961+lqW5K8pNb00sqkHOmfILL/sc//vGunG2mPCYxwUAgEAgEAoEBRCAc0wfwosSQAoFeELCHxs0338xHgvFVGWCX7wSSoEWe5a0C7Npsm1GTMmyxmF111X2OnPvmN795/vnnz3U5jouT65AaZMEFF8z5Eqyk5pxzzq40IXZ8ZxK26qqrLrDAArkpY+at7hD5STvE51PDnLAz+l577eWif//73884UA1tscUWFW+ffLZMgJoRXbpnyvxIZwSw3wsuuIAibqONNsqZKcH/SkyIHXfcsROoK3UH6pB9I4cuj+o222xTYfgWEVh7Cg5hzSKvCIzd4IcB7bFDL1oOBAYZgSAhg3x1YmyBQBcIpP3Ol1tuuSWXXLKs9vjjjydDJmSAE3l5KqWJFMmYyiGigsZUyjRaduUy2VCK40euK1MIrERs5JekCGm5/vrrbX9XxrPKrTUm8KjkN6+pueeeO5cRNVi+MVOP5Mwy0caPpSw29dIs1jje8A5Kl8AEWabNnDnzs5/9LIoy4nxp1YQ3+NSnPiVw84iFh60AFd9hhx1mN/oNN9ywPnc8f9NNN2UPeeCBB7Z/cOp1ByeH3G/vS1pEAS0qDMQgsS9313777eeO8iCPKQ8ZBrQH57rHSAKBcUYgzLHGGfDoLhAYKwRImZpeZJFFKhv5JccMNlFWbZM8QXuw++67b7XVVt/5znesdxI07UWYhrX00kvXx/eyl71M5kMPPdRo2pQMpRTIu4ugGRiIQLpW3xlQVdrk5m6tvRVtqPcuR1NCY0nY+TtrPMhJN9xwAyF7nXXWMetKxWRChvwQmCqnhuGQXGgj9p133rmcrBX6s846q+LBXxbIaREIPvKRjxx33HGZVeZTQ55w1x1//PHuK/Bm4Rtn23vvvZH8FL0NK/ZwySGjT0a43CHTp0+nHaXPYd2XpiDTxKk6U6gJKwh77rmn8HQprvcYTXMY0B4j6KLZQGBSIBAkZFJcphhkIDAyAkleFPyqjH9FI2EHD5U/9KEP8QmRsLJoOfyYY4457bTT9t9/f9QlO4SINFX3SlfF9iC0KwSCZ555pj6OZCiFgWRbLLsTUlBYJ9Y4Q6nSEUUjHFc233zz5Dheb60xh5JHaCztWH7OBRAnO4HQ/Gy33Xb1sF2Jkhn5cJIQKBEfLVdXVusJjh1KjSRs28sIYpYBjwQE8N5LL73UDZylc5niYlMnysmh2BAS5li0SZ1QvkEDFuH3fvjoRz9a6irNkULSAkfWrVEzYmJf+tKXvGTGaArDgPYYQRfNBgKTAoEgIZPiMsUgA4GREeBiYQmWBoAiIpUm8X/lK18hqacdypPYRJLIC7RkeqFseQ4kwYJIIXxWvSd7blBBcBLglVE/ywheJiupFJzXAip7cfSG14d89CAzBHKMCMLMgVZfffXcjmZpRWQKvGvAOb9M2BhE15Q52b5F8F9UimZGJKhErsryJELxspAWFKVuTFKWnNppYuKuu+6aQTNZF5oVzcMPP9zJxF2UCofppNYULoPAn3POOW4qT0Q5TYoR9zzuzS0q5bvn11hjDYV5apUlBz/t7cHdZeGFFy6DTBi254hplqfb3qN5FpYe3EtpL6Cc2a/EMKDdL6yinUBgkiIQJGSSXrgYdiBQRYBJEsMk8jpPCeeYiNjI/NBDD2XZ7z/baJEs87Yha6+9NgZy7LHHKi+272abbZYtTMrW6VhUoVtILZenpJNO48knn1Tgmmuu2XfffdEDdAjDIf7yNiGcYT64CgMVhlVEmXIV+aKLLuLCTjj+9Kc/3bhIT/2SNiHRYCI2BDuytX/GRausskplPA6TgZkQYaXmpF5sGHLg44qUMyUyuuKt+F5ZUpqUueKKK1Yyh/ZwxowZ7tXSJpCiwy3tubj22mt5OpXI0MIhyY23dFls0NLoPStND44XRR6bpQ36UhO8/PLLS3UobY9QFp76rALKVUafGAa0R49StBAITGoEgoRM6ssXgw8E/oOAxVe+sJw9tt56a6KnQFLEdHLD4YcfXgbqsaLJSsdip5Xaddddl9GFld0rr7wScyitL/7T7v+kuJ+uttpqpJO6W8j73vc+DtCs4UWGve+++zgevO1tb1PJqjCnAuoLQZlwmBNOOIGbwQ477FAyEMWMM3vSN5IcmxIecsghhDnSnnlRm+jI4O2GvtJKKzWyJu0w1qLY6croqzLlcT60oszqTKem2UcbHvjglmAvp3PUUUedd955ZU6rNO7abRAznOeJJ55o1WDON0dhnUVesrGmW8Wta+U7nx3TBH5u55NvfvOb3fbivnKfl+aF4PVAIdL0A5RvZYOEeHEg2CVi4CnfJd5ll10Soy5LDlTaTWjM5lg+WeaIfTHXtKZQWnt653i3MN9K1o8mklYT7rrrrtFPapRoj34A0UIgMPUQ8IT6nt5+++2tpuYZt7JQ7g01ti8uX4L4BQKBQCAwIgJsS8j01BojluyhAAEUtRBiuIe6lSpoEi8RFmhE4cqpwTwkwzEqy0yM3mmnnXbCHp9++ul+DRglQzXLrw5VFQ4wYvss6FjWCZTUSUkRmfFMUmwnhd1OGI4wU5be3//+95s1j+cRK46+AHEZ86FDs6LfbWtGC8PKI5DutzqeotKttdZapkZJmDuyLiB2FkadcwYtwWDSHDmSlQNzGxx88MGu0dVXX13mSx900EEYCwVszvfcfexjH0PM1MqZPSRGj3YPnUaVQGAKI2CV0Nrcdddd1+rZtJKSTHAr7/w2Ly5Njfhj5Fn/0cb7hSak/C5HOhAIBFoisP7665OomHhZqm9ZqNcTloetqmaT+l6b+X/1GIcQr/GQbIE2mtbGoa5gAEzRrD+ljx/uQYPEbYbM16/eiciExbJBy8z0ISNeSsvhBxxwADDbj8TIkYpTTz1V4WnTprUv7KxgBkcccQTHd/GXRA6w0M7uq9QwjNhCbwUQHnPhNe5LXNHIddKgT2a9GLdsfk1u3YqjSCpp3bGsxUARqRPAl/lWvalByClHm8fDHIv4Yn207n+lDH8tXli5sOfOzSb+xNe//nU3Rs7vNtE4kq7Q7rbHKB8ITGEEvPOtDlgn8nEp9Zx5yp444WoaVcRj9+IKEpLxj0QgEAi0Q4CxFpMttiWE10b5oF3ltucwEGL3hz/84RQLuG3ZEU5ynCUK83lIJmEjlB6m0z48FecQ2gCwj0ZMzPgxjYM5t6LSCT6frSTcQj51iKIlNzZLflbfeap0UrfSVFeHtG2EYy7X7NN6YCD6EsWh3mMKLsfssPHu1VFpv6R6IoT8owR8q7c24TklU82DeeSRR5BkzjCNgStUQSNzYQkREfihWbAQ3qrM7yrdF7S76jEKBwJTFQHrL945bKftMdrIQEzc0+q1bG2oEYQxenEFCWlEOzIDgUCgAQGyBS0t8xLiRb94CCdy3q6f+cxniDgNXXaThYFYX8eU7EzS6j3bTXtTqixp2BpYJdoVPjn6JXmaevTGp2uZZZbpBDIWxuzu+LvTfnRSvi9lcC1713BsYItVbp3ZVePJPabi8ZKsq82lIogzUWCBgFnVu+PL5Hf00UePmxtM59Okz6GSyj4eqSJVD+nEHCsBr6Fqjlzwyy1EUxXbZSJ7nkd6ks57L0v2C+2yzUgHAkOIAC+4FHxyk002abX+wtvtxBNPZBTdqNFNoI3FiytIyBDekDHlQKB3BNha2EOAzDF64TUNQoPcpvMeIz2PjCvCTTfdZNcCOpBgII0w4pBUARa08lnGQsRErCDndJsgg7K6wST5P7T6vFXatN4mJhsRczzt5XjFcLW0CmhH88p4Oj80ZuiVUrWoUAR0dkpO+dKXTcFELGxmWhXBXRmWhxtssAEXGqaDZZVBSHsShcYyclc2jQfToAZhiMVusDLHFAvb9N1alcF7Bt0Sbi1qrt60bf1CuzKwOAwEhg0BbmyC9QuGWYaoKUGwGuLTyUi1vQXBWLy4goSUFyLSgUAgMDIC3kS2PvRGG7noOJZYcMEF+XOLRzSOfU6+rri/UzqVJjfsoPgc9xxiFfcjSRO1OxTuqU3OP/98wC211FLlMMYUSkIwj2om0dQv7t6e+zJH8dmwjhzwKrkoENxNSoCBUtqGjGKCuTV2h8xQLHCkGdEtp7H62GUKPsFyz7IoP5DUS3IIIb7QI7lbaHhy72n6Yt81XkqPJJ2kQHwPPvhgrtJ5oo9od95plAwEphgCFg7sr8qQsq6tTTP11rKZmG2+bE1bsR2tQ9H3F1eQkDrIkRMIBAKBwNREwPo0iyxBk8vpURGkaEhlZodpgZ6oNRjkNHpElI0QYbl/cMnAB+TbLsZgykCQZeH+phlQUdz5fBrnaFpmWMXESBQvfiCpHUaJPuECbQnR6xufVXDy6eV81Ctb/uXeffKdYpbG4Ttnjk/C2BiIu2r0YLlHS6Eu0P33308KYTj+0EMPsb9KZ00QmzJHBpOUG6WYwgCS+kv87txOmcBM6E/cIWL+lvkdpvuIdoc9RrFAYOohYN3He4ZdqF/j7DyhSEiHdqp9f3HN2jimyAwEAoFAYDgRIDBxsO5q7rxQGMt2VWUCCwswYILUAla18zBs+C2Gb7fRycimSb5kRlzxiMgt5wSIBP5CBpK8zkrH9pr57JgmRD4gUhP6fUHrHdECMdayBw52ZGn/i1/8ovBZqdg999zDgE1Ey5133tlVpkWhS9loo43oPfbaay/yt8V+ZKPeJhHfXnssHFqZqJGwgcb1gk9/h7409V66zWEIJ5au/8QDOcnYU0gjlBscVEQ2I6ZQXGBT5nv22WdLuFtS5IB6X0y2BBigWGtjRJ70Y2Qg+6gmHdSEoF0ffOQEAkOCQHLosvDUGOnBeoTwJKJmtaIoFZT6/uIKTUgF4TgMBAKBoUaAmTv7oq5+9Q0cBxxBUqNAseVXByfZc889bW3R1cgtn6eF/A43hbSmTjrXRaMXQVddd1XYAj9HDn4LjbZYqBHvFMbQZHHD+9SnPmXtUPtE5w9+8IPZAyRpOZAKVn9UK9OnTzedxmGwZbJlJyO3uqdEWT7JBAr3bAtXttZJmp2VYNCYg11Klb/tttvSrUu5Yc9Q9wO2hjuZKetwLhk2GG0Vf8Kld1bMbvZpbbpOZloiMmfjrolCu80g41QgMIURSFH4vOKe//znV6bp6T7llFMsD9n8t3KqzWF/X1xBQtpAHacCgUBg6BDwRiZcdvXj7jzpYDJNgVDKYV911VVWwcucEdMESqoDxRrX2OrVlU9GPuPpEGIYIsz69w2uf4blowqMxAjTdCDUQaySRMq3aZcQcKzFGF8ZtoCzuS7lgH30TPyyyy6rz/GBBx7AQGwA37ilRlk+MTfKkIq3d1lmLNKsw5PMgWvhEqkLfh3my2KN97kcXGvXXXel57HdR/ZQz4PBmjAQGi32ZtkCLZ8tE8lHSzw9GKb8iUK7HFWkA4EhQYCymsbSZGefffa6VlZcSv5am2++ef1UG3z6++IKc6w2UMepQGASINBeCJgEExjHIaIW49hbtau+XKl+TcFXBwlhhkRiTgMVwNf6d3XQbY9pjbIU27bg/56kVWAbYHV82WWX7aR852X4MDCRYmXEduj444+vaGbyMnz7BkWVhQBlCJsx3g4rrLBCq2V+Ngm2WWxsjQESHUjjqcZMZIY6opVHjaaYgTVWrGfSZtj7pZNAc6kM6UQIrxwwB1VDp7ONnDuEIqjeixzTp1FpPNWYqZfS/ySVmRC0G4cXmYHAVEXACkIrRT3ttz219ttvv96iFLZ/cXWOZ5CQzrGKkoFAIBAITB0EkAFb7KX50ACwMurta9Q5Imy3hJDiVrHAAgt0XquTkhpEGMTC32qrrXqeBZa45ppr0mBYINxyyy011Rfe2Mn4W5VBTigcWp2t5NvfY0TPnFQl4U9pkxRZMiVQL8GyGy3WKh315XAA0e7LvKKRQGBSIHDJJZfweePbVoaaYJLKQNT4eQledNFFEqP3eGxcOMuZQUImxd0SgwwEWiKQH+aWJeLEYCAwaFcqbXMOG84AXETaR4hvhJC4n9fRGwuUmdbkOCHIESa4oqkoi/Wc5nJN0yImbN20oPR+ad8+RwiGaj7DbJbq+3u0r9vb2VaeKqk1DuJ+vbXcphYrKVcBIUwKCncm3oWZ4KJtavV8yn2SnEMqLYw/2pUBxGEgMLUR8BLzKmucI4cQPmB+jWeprP2c4iPXWKD9i6uxSmNm+IQ0whKZgUAgMKQIcAmwRtvVzxLypAOLP4BtztMXyJI/Sx5T7nYW3CSSHZE9MUasyyvAnneKcQhhz9NY3nfR8nw28WLQzAW8E2MqXgp33303xQ6X93rLaZBMtlpZJuQq+krKAV7po9nDMTfYJpHmBYrxYTvlSHSaWEHaGd1tIFgZ5U/f1SAJcH01znE80S6nH+lAYEgQ8Fafc845TdYCDevZctYMsaw+VH4e2O22206xk046KZ2qezz298UVmpDyokQ6EAgEhh0B0lLnBjAJrL6LbmN9DUj5LJfQLR1tu+221tpbsYL2I+GAYXdt7uyVz1tjLR6QzLGYDFFW1AugMT57DABsRsHpmfO3MkyWt99+e3v9imGPQiBLxim4U31LSsK0dX0r61o4/fTT1VUre3TYHsTCP4Zjs4t61zknxYqxwkchwDNE+HwO6/ls3xOJABhbo4De9+7KBgUSSCQE5UuzJmqAqCzTl3Sao+tSd3oZZ7T7Mp1oJBCYdAgItG3MXtH1CBO9zaW/L64gIb1dhagVCAQCUxMBr+y0i8LUnN7/9/9Z37JBxIknnmiCpG1uAKNxomC8pB32S0I8tSdjSIJiVC54SB1bgZjEjT388MM33njjtHSXlBs8NAjH1vMM0mh5n1NQ1EkIiqJ95Ip7vaCTe+yxx957720/cs3qS0hi3MZltRzYxh2FfRoFEXrGHhoJsT2ILUHQISPha5GjY9UH30MOmUAALlCYVIeOHD300qqKUDkLLbSQs9Q+V155JXL4yU9+sgdVWKv2c35Skdk2vk60xhPtPJ5IBALDhoBQE9669lelVbZsNMrp9/3FFeZYo7wiUT0QCAQCgcmEAOGPkG3EyRUk+6b3NgcRXTlzC0WfY7A2tmMRLoWrZ4s199xzN5YRkEp+duogv/IhETQ2bXiHDAhIJaxWI2W6/fbb1RWyab311iPy2sObHgPnSR1Z9ReC1gKegDCVrhEMxazK6/2YY47ZfffdbWiosCoXXnghZRGvCXsOiu9UqTjKQw0KTWY6VEmjbKqH6ghVgtF+ONyBxCTo3Len8+5AB3AsC7FPDGei0O58zFEyEJhiCFDtvuMd77CqQhc9+qn1/cUVJGT0FyVaCAQCgUBgciBQuoII0csIZ5Tr37wehbWlNKjL9yUiVtz5bMjBEBpVChbYeIygHMyTFKOusW+JTUWQnJJ10GPUdz0n7Goce0EeTMePbiGZG+UxoCWrrbaabdFLtxA+Jxxj9GireDZ4m222mbixqvDRV16zNhLWpli9rZw7c/vdJsCFhIBuLHz0RxxMxgcz3HTTTZM6a8Ra3RZAI0ULsJdI2jJlAtHuduRRPhCYMgh42G0q6tV6ww03eK+Ocl59f3EFCRnlFYnqgUAgEAhMDgQqriC8QeqBpLqdCYmfzRJB8+yzz7bO3ao612eMgrDbKgZXWmBDBpK4b88KOwZqLStGpH3/cBKmRJVeFEZg1E06FjSD+MtDPalQUmEWWRjFpZdemrhQypxtttmSagUO1CAogek4hefstttuyyyzDIZw9NFHZ9+SSr89HwKKXdmGG26I6qQee26q54rJUG2TTTYBy+hvg/ow6L6g7RLYbCS1P1Fo18cWOYHAUCFA3cqhTkxehpftJ87pLrmkJ/f0SuExeXEl//f4DwQCgUCgQwRIeN5QLPgtLS+66KLWkhm6dFg3ik0UAiyOjjrqqPRRWWuttZgI93EkN910E+OuK664olWbRHxd25JcHPrGMrfccgvdhZ3IjZP7+JFHHokAMBW79957U3mqkoMOOqhx2ImucHRJJRlWWfYTWVKVsi9BXTjA2B7YBt5l/vinSQPLL788LcH4d516dBU4/TOUoo0ZozHccccdLp9botUVH6N+o9lAIBCoI8ADzaoHg1Vv1/rZDnMaX1we8PY/6xH1n/d8+oUmpML04jAQCARGQIA3LWnyW9/6FvUuOxychMlKir46Qs04PXEIkPJFndI/trDLLrv472osnBoFqiI3N9aiKzjiiCP4gufbwFfNYj8NiSo4KpaCsrIKaLXwjzkwf2INxXiAJwazMZGpHGYHEq4sFu+nTZtmABpX2JcvpXXK4Cc5V/iwXXzxxfwvkY2KozyvEhtvMQpCxhRrnMg4ZJopAnDssce2UgqNwxiA6RHG9LC1sehO8AAapEMPPRTdbXXFx6LfaDMQCAQaEeAZ4nn3avXy8f5sLNM+c4xeXEFC2sMeZwOBQKCKAOOKHOuGjT5NCCt/Mge5sFo0jgcDAb7Xe+65J5so2gbh4XtwBcEK2FNVHC3y5AiaXAsSD5kxY4Z82gahcq+//nq6i/POO8++VwcccACbqFylkkie3+4rnzrshb8KvkGVoWVkQwQnTIO5FIpiUe3ggw9GM7hwzJw5k0O8gRGmWf74uDIB8tNXo8O9LzFjA2P78pe/PCE8xOyghAsxMxtn6fzOO+8khfg3BtskWxPtu5lZuqYYiHfC1ltvvfbaa5ebMVeueBwGAoHAeCLAbOGss87ia0eh0S0PGbsX1/O8rMcThegrEAgEphgCDOgFSLXKzkArGZpPsQlO9ulwBSG1+/CYyIc//GG7gqRdOLqa12WXXcb1Ag1oVZdILRYkrw+Ug1LCXYGa3nXXXeJW+eCJCNx+4R+zVZJiDQ/ZddddBZBV3aYftvvgTY5RcC1I1Fdr/DpuvfVWzEosLCVFdrrnnntUF8/q8ccftwDP2KmViM/oWTgvfMx0ksN0VziMpjCdoTDBwgfbN6PV8EbTfpu6jLmZuiEhrqML5Daw9QpG16ZKb6eeeuqpb3zjG8JtudzjPMfeBhy1AoHhQcB2Pd6Z3qhWB+aff/4OJz6mL65ZuuVDHQ46igUCgcDwIGB95b//+7+tMTd6sw0PDgM4U3oD/hiWvY0NS8QVuzXEUtHa9hZbbMHzmxRbsXGaqCnzPj/wwANZiI3pfoITNbu+9+tDj4Wyl+NpgwW5E0JH0XeQo8FAYAgRGJFENBbImbFZ4RDeMzHlQKDPCKSNz6wuE3nHYnm1z8MdpuZKVxA6kB4YCLOlM88888Ybb+TXOBZhlHq4Gj5gxmP3iXTj9dDCsFWhlOCf4zdsE4/5BgKBwCAjED4hg3x1YmyBwGRCwHbUjPjziHkAs5CxBzbD/ZwpIdAqN2X70Nlj2yEZl6scHTFPgLw6UpaPdM8IVFxB1lhjjW6bcnW4djBwUpGt3YAwTCGz+IS0cXPvdppRPhAIBAKBQGD8EQhNyPhjHj0GApMbAYGSzjnnHNYdHHxt2mBB2o4KpkQNkgIWsexn9sMpmas6+/4555wzT1gOWnLGGWfIT04CcpjyX3755TjJqquuOhY7N+feByTBb8H+tfaJ49sgcqINuZdccknpQw45BHT89ESvIu7z5eAR4Szv/6997WvcCrsav+oiIOlILV7j4hSx1++8BV4EoqyefPLJ3BjU4j4hKlrn1ce05BjFdBrTMUfjgUAgEAgEAhUEgoRUAInDQCAQaIkATcXNN9/MEF/gVH6udr/GOkT7EQ61rMPxl8AqIBKlB4rCwzifFSuJDsRhzufBzLifXE5hIkTSMJAQ6KEEwqSee+65rPPFjOIrLKAQuR8l4zrMCRsJYT3F35qRm5/9FroiITQYxx9/PHfwhLw9NPzyVeghYQ9BXKiHilElEAgEAoFAIBBoRCDMsRphicxAIBBoQIDc/JGPfESEDcvz4nvybeUkYP+HVBTxEHoopYUewkAsn1vjLxtKQY0q+QgJz2lhl3Lk37LKlEwjbzaNMjX4iD9ruz3YonNy/vjHP9rXljLEHrc8OjA6mTba6woH8eBFoe2qSvvCbLFaxedtXzHOBgKBQCAQCAQCjQgECWmEJTIDgUCgioCdIqzWU1Z84hOfaAy3KuRfCspJYZKsgERWLT2hidfJtqeSrycbOKiO3lR7naLHND/sr0wO7+Ihw26KPoQmRA5vh+OOO26DDTZ4z3veQ6HhJ/MNb3hD50igf2lXkM6rjFjS8FoF5x2xbhQIBAKBQCAQCATqCAQJqWMSOYFAIFBFAK+waYP1deZDla3uBEtNpbPjcto/TiayQaTObdk1gs9DPV+OnUaoR+aYY45ceGonmKXZNs4cOeWLfouD8eNnwCZHEHc7hduRA6MToF0xyHTuBcEVhCFWIoF9xNBWgAMSGquPk4qmAoFAIBAIBCYQgSAhEwh+dB0ITBoEOKNfe+21hssP5BWveEU5bnupOsQ3FltssZTPh8Em1tLLLbdc3rAMM7GLGZ8HVj0suHK+YlzSOYqI3TQgwZfSLMb0H2ig0MWOO+4IUomsGwHODjvskCR+MCpWVxy1Ghu1SekK0qpYD/lISA+1okogEAgEAoFAINAKgSAhrZCJ/EAgEPgPAnw8ZsyYYUme/0ZJFYjIyazIHtV5u/Qf//jHgsOuuOKKpRGRjR0uvvhiLWqhssEcQy+BmxpNvP4zgimUYnaVQMM3Nttss4Rn1o1svfXWbJ9MNxerKJTaIIG6MMSitur7j/qrTb9xKhAIBAKBQCAQ6BaBICHdIhblA4FhRADZwCvqIZK4H7Cw4pLOfCh5pTMrSoZGFCM51JW6/KQXX3xx2C211FLCQ2UQBfZl6EUNIkxWzpzaicceewxPM0dRxRLfkLanCpC5gmRxPxcrFUpTG5mYXSAQCAQCgcDwIBAkZHiudcw0EOgdAf7TmIY1exGxcivMqM466yx7FNqJmaCc8pldYSbSDHjsIiLBS0E0Lc4kWnAo1GwZtNd2GQ8++OD666+fqg/DP3O1733ve/QbyRDLlCk9kkOIHVcycxMjS7GKQmkY8Ik5BgKBQCAQCAwDAv+RJ4ZhtjHHQCAQ6A0BoavoMcjKaZtzjTD4sckgv2rsIgXYTS3zHkFLpJN1lvLHHnvstGnTqEqSC3vpff7www87a0OM0n+9txFOolpJU/TmN78ZqmnYjUqP5Gwjhi/EbP4ottgkmmMMNRAIBAKBQCAQaI9AkJD2+MTZQCAQ+H8IMMRab731xFwS4Qr9sM3FBRdcsM8++8jkCV3G4eV3ngyrEAy/z372swyuRPWVae1fU8y3sBTqEbukc2Dw6zz00xS4GNmLhlla3nkjKT1Kb5msG6Em+sxnPrP66quPp7maTrfbbju7UvpJOJwCyMcUAoFAIBAIBAYKgdgxfaAuRwwmEBhQBASzIo/OO++8n/vc544++mh2WcLInnbaaayw8gaFaehsrmy0R4a2XTfZetttt1122WVTLKxdd91VGRvzrbDCCgjJpptuevLJJw/b7hNc/H/0ox/BYYkllkiIIXUpoi4vGrF6UyaE55prLixFDrJHlZTyx+GfNZ19EpnY7b777rr7/Oc/v8kmm5xxxhnCEoxD79FFIBAIBAKBwJAgMIvv35BMNaYZCAQCgcDwIODdzojrsMMOYzWH9XU4ceZzjOuQonPOOScFMeOsgi4yujvwwANjq5AOYYxigUAgEAgMAwIjkojGAjkzzLGG4SaJOQYCgcDQIcBkTqQym7owAOt88sIl33zzzRxRsk6G4wr3leuvvz6MsjqHMUoGAoFAIBAIjIhAkJARIYoCgUAgEAhMPgQYdO22226829/97nd3Pvp77rnHDokCB2crO27xAp3RjaSwwp03FSUDgUAgEAgEAoE2CIRPSBtw4lQgEAgEApMSgT//+c8zZ8584IEH/v73vyMhs802W4fT4LKiJAKTt7SXcCjTbpUdNhLFAoFAIBAIBAKBEREITciIEEWBQCAQCAQmGQJow3e/+90111yTE7ytXcRNfs973oNOtPkpoBj2YqoiEJQTTlGV06kyP9KBQCAQCAQCgUDPCIQmpGfoomIgEAgEAgOKgM0leXcIriXsL0KCRRxwwAF77bVXm+GqkshGvUzadLKeHzmBQCAQCAQCgUDPCAQJ6Rm6qBgIBAKBwIAiQGshPrKYvymu7gte8ILll1++k7EmHmLzxLJwOmxFUcqSkQ4EAoFAIBAIBDpEIMyxOgQqigUCgUAgMGkQSLuRvPWtb7XLZFeDft3rXqe8/SVzCEUJhzLTqa5ai8KBQCAQCAQCgUArBIKEtEIm8gOBQCAQmKwI2NxDkCu2WIyszKFzn5BFF13UPpK2urfdZJq8hEOZTk1WOGLcgUAgEAgEAoOHQJhjDd41iREFAoFAIDAKBOgu+KMzxLIpu80Hk7NHhz4hbK64s99yyy2PPvpo2qxQQnDed77znQsttNAoBhVVA4FAIBAIBAKB/4NAkJD/A0ccBAKBQCAw2RFIDiHzzDOPAFlPPvnkWmut1blPiLlvvfXWSMh11123zTbb4DOXXHKJzO23314jkx2ZGH8gEAgEAoHA4CAQJGRwrkWMJBAIBAKBPiCAOdgr/ZlnnuETsvrqqwvR21Wjb3rTm84444wjjzzyzjvvVPHZZ591mBzcu2onCgcCgUAgEAgEAm0QmMXnqs3pOBUIBAKBQCAQCAQCgUAgEAgEAoFABYERSURjgZzZ3QpZpe84DAQCgUAgEAgEAoFAIBAIBAKBQKBbBIKEdItYlA8EAoFAIBAIBAKBQCAQCAQCgVEhECRkVPBF5UAgEAgEAoFAIBAIBAKBQCAQ6BaBICHdIhblA4FAIBAIBAKBQCAQCAQCgUBgVAgECRkVfFE5EAgEAoFAIBAIBAKBQCAQCAS6RSBISLeIRflAIBAIBAKBQCAQCAQCgUAgEBgVAkFCRgVfVA4EAoFAIBAIBAKBQCAQCAQCgW4RCBLSLWJRPhAIBAKBQCAQCAQCgUAgEAgERoVAkJBRwReVA4FAIBAIBAKBQCAQCAQCgUCgWwSChHSLWJQPBAKBQCAQCAQCgUAgEAgEAoFRIRAkZFTwReVAIBAIBAKBQCAQCAQCgUAgEOgWgSAh3SIW5QOBQCAQCAQCgUAgEAgEAoFAYFQIBAkZFXxRORAIBAKBQCAQCAQCgUAgEAgEukUgSEi3iEX5QCAQCAQCgUAgEAgEAoFAIBAYFQKzjqp2VA4EAoFAIBAYAgRmzpx58sknzzLLLPvuu+8QTDemGAgEAoFAIDDmCIQmZMwhjg4CgUAgEJi8CPzlL3856aST3vve9+63337PPffc5J1IjDwQCAQCgUBgoBAITchAXY4YTCAQCAQCg4XA85///G222WbJJZdceeWVB2tkMZpAIBAIBAKByYxAkJDJfPVi7IFAIBAIjDECs8022xj3EM0HAoFAIBAIDCMCYY41jFc95hwIBAKBQCAQCAQCgUAgEAhMIAJBQiYQ/Og6EAgEAoG+IfC73/3uq1/96nrrrbf66qs/8MADN9xww7LLLvuud71L/p/+9Kcjjjhirrnm2nnnnf/2t7/1rctoKBAIBAKBQCAQ6BWBICG9Ihf1AoFAIBAYJATmm28+lOOPf/zjtGnTrr322h/84AfLLbfcddddd+ONNx5yyCELLrjg4osv/pOf/ESBQRp1jCUQCAQCgUBgSBEIEjKkFz6mHQgEAlMPgYceeujHP/7xT3/608cee2ynnXai+ph33nmpR1ZdddU111zzBS94watf/eoXv/jFU2/iMaNAIBAIBAKBSYdAkJBJd8liwIFAIBAINCNw++23s7yae+65t9hii2eeeSaxkbXWWouG5MEHH3RIGTLHHHP84he/eOtb32rTjza/7373u819RG4gEAgEAoFAINAPBCI6Vj9QjDYCgUAgEJhoBDh7YBcveclLttxyy9e85jX33XffL3/5Swxks802m3XWWTEQziG4x/Oe97z555//+OOPf/bZZ9sMedFFF21zNk4FAoFAIBAIBAKjRCBIyCgBjOqBwCAi8KMf/ehzn/vc448/bqc5/9ttt52tHtrY4RBYCalXXHHFeeedZyk9TYmLs99b3vKWpZZaiiVPnuc//vGP00477VWvetWGG26YM8ch8Zvf/Oauu+7i1eD/ySeftINeKSg//PDDRx111G677Ub+HofBDGAXnD2QkFVWWYVjOhWH9A9/+MNtt90W5fjnP/95zz33uJSvfe1rjRxRiU0/BvAKxpACgUAgEBgqBMIca6gud0x2WBB44xvf+LWvfe3KK6+8+eabL7jgAuxi/fXXJ6a3mv8b3vAGW2ILoLTiiiumMvvss8/FF1+MvSy//PIlA5k5cyZnA1Lsuuuu26q1McpHe4jXv/71ry+55BK+12TrsiPeDhjInnvueeutt5b5kyj929/+do899jjllFN6G/OvfvWrO++8c6WVVppnnnn+/e9/I6Kvf/3r3/72t1N9PPXUU3xFllhiiVe84hUISW/tR61AIBAIBAKBQKCPCAQJ6SOY0VQgMCgI2OXaz2isiC+22GL77rvvvffee8IJJ/zrX/9qM0Q6k9///vcK4BjrrLMOG55K4UcffTTRkg984AP1s5XCfT9MXOjpp5/W8pve9CaDrHRBB7L//vuT48WGqpwa8EPUzjWicTr66KOfe+653kZLR6RiYh1QogYBiJ9M9Iam66Uvfen555/PKKuH9tvfOT00GFUCgUAgEAgEhhyBICFDfgPE9IcCAdKt4Ej0Iffff3+bCRNVSa4KEGQXXnjhSkmWXQcddJD85GNQOTs+hyyy0giXXnrpxh6RE4Pce++9ydyNBQYtk3A/ffr0q666apFFFik1Tt2Ok0PI3XffjXDSfqiLTHII4YZO9eGQMoQ/+t///vc11lgj0ZLO22eeZ3h8SFS5/PLL6cdw0c6rR8lAIBAIBAKBQKARgepKZ2OhyAwEAoFJjQClAdn0jDPOQDNKP4rKpOwskXKUefnLX16eZd4j0quISeecc86LXvSi8tR4ptlika3ZjLEfa9UveyQ/KgVycxs3mFbVxzkfPaBW0ukTTzzBIac3NYXqLgonmTx4V5ATSD7kj87tJx92lXDzvOd/fl3VisKBQCAQCAQCgUB7BEIT0h6fOBsITBEEkkeyjbRbzceC989//vN0lghbYRo/+9nPTj75ZJFeUzutGhnTfEqD2267TReve93r0gJ/Y3f0CRtssMGFF154zTXXNBaIzEAgEAgEAoFAIBCYcASChEz4JYgBBALjh4DNIlq5HPzhD3+YMWNGGgpzrHJM1CBXX301ikIF0cpkSBkmQJQtzHXKurjNLbfcctNNN7GkSvmIkJBNft1a9fBz4GytEdZlPFK0Sd3B/UO0rrJHaUZZpkBpwyG7cioOA4FAIBAIBAKBQGAQEAhzrEG4CjGGQKDPCDC7+sY3vsGCX7sMfkTaTeQBA8EWGjtDEr73ve85hWlU3AZYCpH1SfaNRlDOfvnLXz7zzDPFhJ1vvvkuu+yysn26i3e/+90pPzV7xx13sOxS5h3veIcdLcrC7dMYVLIpQi3oZPJuejvssIPgvKXlFVsyyhx0SPllllmmfbNxNhAIBAKBQCAQCATGH4HQhIw/5tFjIDCGCKAZZ599Nl2BzTQEe8UrKDEoH4Svbd+r6K6pAOdmMV7Lwskd/JWvfGXFUSSVmWuuucTz3WSTTRzaiaIkMAyobrzxxko+W6kDDjhAZtaNSHfyE2SWQ4iSfFdOPfVUoWZPP/10HgvUL7QiZQtsyUTsfeyxx7797W+X+ZEOBAKBQCAQCAQCgQFBIEjIgFyIGEYg0AcEaDnOPffc7bfffoUVVvjCF75gXwgheqkI3vnOd6bWba/xX//V8NSnzbZTGSRk9tlnL0cjphaHaSSklS2WwFmJUSA/JVFhcJV27SjzMYRPfOITtiURr6nspX0an0kBr/Ac+zDys59tttlsfiLqF4sv2pWKhic1jrSYWvuW42wgEAgEAoFAIBAIjD8CDeLI+A8iegwEAoG+IECbQSnBadteGaVGIjduvz+0JB/mRNpsOx2iLjk/JR555BGJvPdI5axDBZK3hp0NWX/lAmyxko6ikv/CF75w3nnn5V+eS46YMEIhaBVjwWUrxlQ+tSPNHUX82bIR7TukDKl7jJTFpl762WefPfLII13lPv7EJJh6QMWMAoFAIBAIBCYWgSAhE4t/9B4I9A0B0jbDJBqJjTfeeNllly3b/fOf/+yQ9oBvRpmf02mzbYeNO4Sk6rlwPcEbxPYddBQ8MfJZ6pHkH1LJVwBhQCoWWmihXHjERDIJM/6VV16ZeJ3KE7j/+te/SlPdlOQnt6aXVCDnTPkEl/2Pf/zjXTnbTHlMYoKBQCAQCAQCA4hAOKYP4EWJIQUCvSBgD42bb76ZjwTjqzLALt8JJEGLPMtbBdi12TajJmXYYjG76qr7HDn3zW9+8/zzz5/rchwXJ9chNciCCy6Y8yVYSc0555xdaULs+M4kbNVVV11ggQVyU8bMW90h8pN2iM+nhjlhZ/S99trLRf/+97+fcaAa2mKLLSrePvlsmQA1I7p0z5T5kc4IYL8XXHABRdxGG22UM1OC/5WYEDvuuGMnUFfqDtQh+0YOXR7VbbbZpsLwLSKw9hQcwppFXhEYqMHHYAKBQGBSIBAkZFJcphhkIDAyAmm/8+WWW27JJZcsSz/++OPJkAkZ4ERenkppIkUypnKIqKAxlTKNll25TDaU4viR68oUAisRG/klKUJarr/+etvflfGscmuNCTwq+c1rau65585lRA2Wb8zUIzmzTLTxYymLTb00izWON7yD0iUwQZZpM2fO/OxnP4uijDhfWjXhDT71qU8J3Dxi4WErQMV32GGH2Y1+ww03rM8dz990003ZQx544IHtH5x63cHJwbLsfUmLKKBFhYEYJPbl7tpvv/3cUR7k4CGDc+FiJIHA5EIgzLEm1/WK0QYCLREgZTq3yCKLVDbyS44ZbKKs2iZ5gvZg991332qrrb7zne9Y7yRo2oswtbv00kvXO3jZy14m86GHHmo0bUqGUgrk3UXQDAxEIF2r7wyoKm1yc7fW3oo21HuXoymhsSTs/J01HuSkG264gZC9zjrrmHWlYjIhQ34ITJVTw3BILrQR+84771xO1gr9WWedVfHgLwvktAgEH/nIR4477rjMKvOpIU+4644//nj3FXiz8I2z7b333kh+it6GFXu45JDRJyNc7pDp06fTjtLnsO5LU5Bp4lSdKdSEFYQ999xTeLoU13syTjPGHAgEAhOOQJCQCb8EMYBAoD8IJHlR8Ksy/hWNhB08dPChD32IT4iEdVzL4cccc8xpp522//77oy7ZIUSkqbpXuiq2B6FdIX4988wz9bEmQykMJNti2Z2QgsI6scYZSpWOKBrhuLL55psnx/F6a405lDxCY2nH8nMugDjZCYTmZ7vttquH7UqUzMiHk4RAifhoubqyWk9w7FBqJGHbXkYQswx4JCCA91566aVu4Kmdb/4AAEAASURBVCydyxQXmzpRTg7FhpAwx6JN6oTyDRqwCL/3w0c/+tFSV2mOFJIWOLJujZoRE/vSl77kJTNoU4jxBAKBwKRAIEjIpLhMMchAYGQEuFhYgqUBoIhIpUn8X/nKV0jqaYfyJDaRJPICLZleKFueA0mwIFIIn1XvyZ4bVBCcBHhl1M8ygpfJSioF57WAyl4cveH1IR89yAyBHCOCMHOg1VdfPbejWVoRmQLvGnDOLxM2BtE1ZU62bxH8F5WimREJKpGrsjyJULwspAVFqRuTlCWndpqYuOuuu2bQTNaFZkXz8MMPdzJxF6XCYTqpNYXLIPDnnHOOm8oTUU6TYsQ9j3tzi0r57vk11lhDYZ5aZcnBT3t7cHdZeOGFyyAThu05Yprl6bb3aJ6FpQf3UtoLKGdGIhAIBAKBDhEIEtIhUFEsEBh0BJgkMUwir/OUMFYmIjYyP/TQQ1n2+882WiTLvG3I2muvjYEce+yxyovtu9lmm2ULk3K2dCyq0C2klstT0kmn8eSTTypwzTXX7LvvvugBOoThEH95mxDOMB9chYEKwyqiTLmKfNFFF3FhJxx/+tOfblykp35Jm5BoMBEbgh3Z2j/jolVWWaUyHofJwEyIsFJzUi82DDnwcUXKmRIZXfFWfK8sKU3KXHHFFSuZQ3s4Y8YM92ppE0jR4Zb2XFx77bU8nUpkaOGQ5MZbuiw2aGn0npWmB8eLIo/N0gZ9qQlefvnlpTqUtkcoC099VgHlKpEIBAKBSY0Aw8vGL35/JxUkpL94RmuBwIQhYPGVLyxnj6233proKZAUMZ3ccPjhh5eBeqxostKx2Gmldt1112V0YWX3yiuvxBxK64vKNLifrrbaaqSTulvI+973Pg7QrOFFhr3vvvs4HrztbW9T3aowpwLqC0GZcJgTTjiBm8EOO+xQMhDFjDN70je+8mxKeMghhxDmSHvmRW2iI4O3G/pKK63UyJq0w1iLYqcro6/KlMf50IoyqzOdmmYfbXjgg1uCvZzOUUcddd5555U5rdK4a7dBzHCeJ554olWDOd8chXUWecnGmm4Vty49Qz47pgn83M4n3/zmN7vtxX3lPi/NC8HrgUKk6Qco38oGCfHiQLBLxMBTvku8yy67JEZdlhyotJvQmM2xfLLMEftirmlNobT29M7xbmG+lawfTSStJtx1110DNakYTCAQCCQEPKG+p7fffnsJiEPW1B758ueTnUJlju2Ly5cgfoFAIBAIjIgA2xIyPbXGiCV7KEAARS2EGO6hbqUKmsRLhAUaUbhyajAPyXCMyjITo3faaaedsMenn366XwNGyVDN8qtDVYUDjNg+CzqWdQIldVJSRGY8kxTbSWG3E4YjzJSl9/e///1mbeFtxIqjL0Bcxnzo0Kzod9ua0cKw8gik+62Op6h0a621lqlREuaOrAuInYVR55xBSzCYNEeOZOXA3AYHH3ywa3T11VeX+dIHHXQQxkIBm/M9dx/72McQM7VyZiQCgUBgwhGwSmht7rrrriufTdbL1iXLr0NKC0RBYZ7G3ObFpan2Pxae9Z+W0y80IXXkIycQCAQaEFh//fVJVEy8LNU3nB5dluVhq6rZpH40jTEOIV7jIdkCbTStjUNdwQCYolljTq973IMGidsMma9fvRORCYtlgxb16UNGvJQWxg444ABgth+JkSMVp556qsLTpk1rX9hZwQyOOOIIju/iL4kcYKGd3VepYRixhd4KIDzmwmvcl7iikeukQV/NejFu2fya3LoVR5FU0rpjWYuBIlIngC/zrXpTg5BTjjaPhzkW8YXlVd3/Shn+WuSYXNhz52YTf+LrX/+6GyPnRyIQCAQmEAHvfKsD1ol8XLzY80jEq7QQZh3Bukn5s5DnzZyKjd2LK0hIvhCRCAQCgXYIMNZissW2hPDaKKm0q9z2HAZC7P7whz+cYgG3LTvCSY6zRGE+D8kkbITSw3Tah6fiHEIbAPa+iIlM42DOrah0gm+FrltIZDZEkdc7myU/q+88VTqp26rNTvJp2wjHXK7Zp/XAQHQhikO9oxRcjtlh492ro9J+SfVECPlHCfhWb23Cc0qmmgfzyCOPIMmcYRoDV6iShZVUhRUHPzQLFoKJ5UYiEQgEAhOFgPUX7xy20/YYLRkIHQXTXEbO1sKYj5a/HA0/jXmMXlxBQibqloh+A4HJhwDZgmUO8xLiRb94CCdy3q6f+cxniDijRAQDsb6OKdmZpHzPjrLZqVGdNGwNrBLtCp8c/ZI8TT16Q62xzDLLdIIVC2N2d/zdaT86Kd+XMriWvWs4NrDFKrfO7Krx5B5T8XhJ1tXmUhHEmSj4wGNW9e74MvkdffTR4+YG0/k06XOopLKPR6pI1YM0mmMl4DVUzZELfrmFaKpiu0xkz/NIT9J571EyEAgE+o4AL7gUfHKTTTaprL+wnr3ppptEtSkDTrQawFi8uIKEtEI78gOBQKABAbYW9hAgc4xeeE2ta5DbdN5jpKHLzrLSy9SuBXQgwUAaMcMhqQIsaOWzjIWIiVhBzuk2QQZldYNJ8n+ofN5aNWV1XEw2Av142svxiuGMbhXQjuatBjZifoqCXUrVokIR0NkpOeVLX7YAE7GwmWlVBHdlWB5usMEGXGiYDpZVBiHtSRQay8hd2TQeTIMahCGWtdLKHFMsbNNPDqzl+D2Dbgm3FjVXX7RtZeORDgQCgc4R4MYmWL9gmGWIGtU9mCL4izfDDIE+08JB+1WDsXhxBQnp/DpGyUAgEPh/CHgT2frQG22g4FhwwQX5c9MmD9SoBm0w3N8pnUqTG3ZQfI57DrGK+5GkidodCvfUJueffz5YllpqqXIYYwqUby2PaibR1C/u3p77Mkfx2bCOHPAqOYQQ3E2KXXUpbUNGMXYOjd2hghQLHGlGdMtprD52mYJPsNwTBIwfSOolOYQQX+iR3C00PLn3NH2x7xovpUeSTlIgvgcffDBXiUQgEAiMJwIWDuyvypCyrq0V0E9gzDwYbzYmWzYIEherlaVD319cQUIy/pEIBAKBQGCKI2B9mkWWoMnlPKkIUjSkMrPDtEBP1BoMcho9IspGiLDcP7hk4APybRdjMLouy4xRmgEVxZ3Pp3GOpguGVUyMRPHiB5La8alGPFgyCNHrG59VcPIZOdhvvrLlX+7dzp5OMUvj8J0zxydhbAzEXTV6sNwjwzAXiIsqDxaG4w899BD7q3TWBLEpc2QwSblRurgwgKT+Er87t1MmMBP6E3eImL9lfqQDgUBg3BCw7uM9wy7Ur9Ipw0svRvH97OL1xS9+MUVo9FqwnMe1slxSyRX7/uKaNTcdiUAgEAgEAgECEwfrrnDghcJYtqsqE1hYgAETpBawqp2HYcNvMXy7jU5GNk3yJUeCikdEbjknQCTwl29ektdZ6TBEzmfHNCHyAZGa0O8LWu+IFoixFpsE7MjSvo+x8Fmp2D333MOATUTLnXfe2VWmRaFL2Wijjeg99tprL/K3xX5ko94mEd/OhowDW5mo4TNA43rBp79DX5p6L93mMIQTA8d/4oGcZOwppBHKDQ4qIpsRUygusCnzPfvssyXcLSlyQL0vJlsCDFCsNYYFS+WTfowMZB/V0eig6r1HTiAQCHSCQHLosvDUGFdDC95F1oZsYWS/L0+93Y2ZklKPW3Sov5r6/uIKEtLJRYwygUAgMCwIMHPv1lLfW3tyoUNqFCjW6lfeOA8n2XPPPYVVrXsYt5ma5fO0kN/hppCW1kjnGmz0ImjT0ShPWeDnyMGSqlEORo14p3AlYplgeK4mvdBCCy1EdBbPN/OWpOVAKiwTkrynT5/OKDGrPsoRsmWyZaeveN1ToiyWZAKFsSCf9vLUGKXZWfltueWWvPNFg7jttttMYfbZZ6fcsGcoBuJ+wJ3YUAlhzJ2DVQaFVSOPcumdFbMbqm1Gm8y0RGRm09UIfpu6cSoQCARGj0CKwucVV4l2VW/ZE7rVVltZOOAi4lVgnQgPsVlwpWR/X1xhjlWBNw4DgUBgqBGwYE9W7urH3XnSQWaadocsh33VVVdZBS9zRkwT36kOFGu1xlZpQflk5DOeDiHGIMKsf9/gxs8wqmAhkDBNB0IdxCrJZuqspYWAYy3G+MqwBZzNdSkH7Fpo4pdddlllgg5ROwzEBvCNW2qU5RNzowypeHuXZcYizTp8jTXW0DI7jRyei1+H+bJY433uFOKx66670vPgpdlDPQ8Ga8JAaLTYmzXSsFwy+WiJpwfDnBmJQCAQGB8EKKtpLPVlraFxNaE+DG/CtHcho9P8fiiL9ffFFZqQEttIBwKTD4H2QsDkm89Yjhi1GMvmR2i7L1eqX1PwQUJCmCGRmNO4BfC1/j3CHP7vaVqjxq/U/y31nyPqCLYBVseXXXbZ/+T2I8WHgYkUKyO2Qzb6rWhmso91+64Eh4EAZQibMd4OK6ywQqtlfooL2yw2tmYdkQ6k8VRjJjLDJruVR42mmIE1Vqxn0mbY+6WTQHOpDOmE3UUOmIOqodPZRs4d8sEPfrDeixzTt71m46nGTL2U/ieNZSIzEAgE+o6AFQSvl66a9Z1ac801raG0fzW1P9t5j0FCOscqSgYCgUAgMHUQQAZssZfmQwPAymisY+ay3RJCilvFAgss0F8cNYgwiIXPnKDnWeSvL1MlNkua6gtvHM1MkRMKhw5b4GY6omdOairhT2lDkkg5EqiXYNlhNNUh2lEsEJiqCHiTMM5sFSCrv7MOEtJfPKO1QGC8EejX0vh4j3v4+hu0K5W2OXcdfG+4iPSwxzxxP6+jj3g9rclxQlBMDJaKpmLEup0U4HJN08KfoW51YIKdtKCM7T4YqvHTYLNU39+jw0a6KsYYrI3cz0Hcr6sGOynMSspVQAiTgsKdiXdhJrhoJ9W7LeM+Sc4h3VaM8oFAIDAaBLzEvMq6bYGTmOUMVKTNY9v+xdV5j+ET0jlWUTIQCASmPgJcAqx/d/WzhDzpcOEPYJvz5JhuyZ8ljyl3OwtuEsmOyJ4YI9blFWDPO8U4hLTyw7b2Znk+m3gxaBZdtxNjKl4Kd999N8UOl/f6SNIgmWyNaJmgr6Qc4JU+mj0c62Oo56R5gWJ82E45AJ0m8SLtjJ6cUCl/2tChsnrn6QS4vsZ/jp0PMkoGAlMVAW/1Oeec0+ws0LCe7XCajz/+OKc4HmI8SepV+vviCk1IHeHICQQCgeFFgLTUuQFMgqnvottYo0/KZ7mEbulo2223tdbeihW0HwkHDLtrc2fv5PNmxzrmWFbXKCvqzaIxJ5100kUXXSQeC6dnzt/KiFUvaqS9fkVzQiGQJeMUFra+JSVh2ro+PYYWTj/9dHXVyh4dtgex8I/h2Oyi3nXOUeCUU06xwkchwDPEBhcc1vPZvicSATC28RfQBRJIJATlS7PmDQKiMZqj69LK6aXvPUaDgUAgUCIg0LZDr+h6hImyWJm2w7oFIJ4hjead/X1xBQkpkY90IBAIDDsCXtlpF4WpCgTbGxtEnHjiiSZI2uYGMBonCsZL2mG/JMRTezKGJChG5YKH1LEViGndddc9/PDDN95447R0l5Qb/CMJx9bzDNJoeZ9TUNRJCIqifeSKez0isccee9j6137kmtWXkMS4jctqObCNOwr7NAoi9MyuKUiI7UFsCYIOGYmPcY6OVR98DzlkAmuNoDCpxi99D212XsUCpxjEylP7CEyMHH7yk5/sQRU2Yo9JRWbb+PEnWiOOLQoEAsOAgFAT3rpCXdEqWzbKU/Za8xWwW9Tmm29uf9L89hau3Qdi9913p7LOhXOi7y+uMMfK2EYiEAgEAoGpjwBRm5BtnskVJPum9zZzEV0tmAlF3z4Gq0W4FK7eh63VViQCUhlDduogv/IhYRKQNrxDBgSkElarkTLdfvvt6grZtN566xF57eFNj4HzpElZ9ReC1gKe72tlmr7EitEG6P2YY47x6bUxiMKqXHjhhZRFvCbsOSi+U6XiKA81KDSZ6VAljbKpHqojVAlGW+JwBxKToHPfns67Ax3AsSzEfiwYTucjiZKBwNAiQLX7jne8w6oKXXQJgje2x58z2GabbWbpx2uQotjWq5alLOXIrDvXqd73F1eQkPKiRDoQCAQCgamMQOkKIkQvI5xRSoe8HoW1pTSoy/cljlbc+WzIwRAaVQoW2HiMoBzMkxSjrrFviU1FkJySddBj5N0Dc/uEXY1jL8iD6fjRLSRzo1wGLVlttdVsi166hTA54BijR1vFs8Hz3RWlVxU++spr9mMf+5g2xertwbkzd92YABcSArqx8NFv7LHMzPhghptuumlSZ5UF+pJGI0ULsJfIiFum9KW7aCQQCATqCHjYbSrq1XrDDTeUwVGQk6OPPpqlq4UhVGT99df3OvJeErTde6+VgW7fX1xhjlW/ZJETCAQCgcAURKDiCsIbpHGtq6uZk/jZLDHpOfvss5dZZplWny6uzxgFYbdVDK60wIYMJHHfnhV2DDSSrBiR9v3DSeq+kgojMEwOko4FzSD+8lBPKpQ0HRZZvqy77LKLRb4sc9sMOKlW4EAN4lNtOsrjOXYKR9ikjzjiiOxbkpoa/T/1C7uyDTfcENVJPY6+zW5bSIZqm2yyCVhGfxvUe6f7uvTSS10Cm42MRfv1HiMnEAgEGhGgbuVQZxOhD33oQ4suumguw9KV8Wo+HDExFi+u0ISMCHsUCAQCgWYEnnvuuTPPPJM56VprrUW4ZJZjRVxmWVqcDassRx11lNcfgTI5Q5cFIj0+CBAKWQD76c712meffUoNw2jGwJKHcE9xQZXfqh02YPwxiLytouUyWb7zzjvZhvFgZhzle2mRvox2xeeEhRVFSl1qtwEihuODmsyaNeU2Y4FQ2bbPUh+aYV/wp556Ko1TU0RkptI4TEVWXn755Zl4+a2++ur1HltNs8N8VhAGvN122/XrEnTYby5mQZTpBUMpO7vXNUu52GgSdFPnnXceC7rEdkbTVNQNBAKB0SBAGSL2HTewr3/9696uPTc1Fi+uICE9X46oGAgMOwKiiWMggiNx+SWuWVKl291vv/3K1xwnYzY/LFvOPfdcFjJjGm5o2K9H2/kLeCLqlCJoAM7Qigy0aoOkLlAV65rGAnQFNAZ8wVMQXmWIuRb7meKowhkDP2ENlVUN9Ua4ZLhJWEP5XqIQtBBuFYfZgQSNIc5OmzYtNa5wors60imDn+Rc4d67+OKL+V/ytsyulqk7XiV2H2eChRKXt2h9MGOaY6aifh177LGtlEJj2ntqHJhf/OIXjzzySEYaY9Gd4AEsPQ499FB0t+8UbiwGHG0GAlMbAcZXnnevVi8f78weJjtGL64gIT1ci6gSCAQC/4sA2xhUxAGLC85tFncPO+wwATcyQCxepNPODyxkJmrpN49nOBOcDvfcc082UXggltiDKwhWYPG+4miRwSRoci1IPGTGjBnyn3zySaFyr7/+enoJK+KUFQcccACbqFylkkie32Io+dRhL/xV8A2OIlpGNph7YRpMllEUKp2DDz4YzeDCMXPmTO6VBkaYZvnj48oEyE9fjQ73vsQCARsbfciE8BCzgxIuRCs4ztI5RRMpxL8x7LXXXpz4+25mlq4pBsLTZuutt1577bXTy6FyreMwEAgExh8Bhlg0zFTWl1xySbc8ZAxfXIYSv0AgEAgE+oIAcdCaNCrCLj83SChhr++dS/7LmZEYNwTsLSXgSfrm8QOh0+iha9dugw02ePTRR9vXRTmwUF1gDtOnT8cNREZijiwIbPuKTK3YU/mR0WlOVKfQcOjDyYjrW9/6FkKSWkAePv/5z6NDfrfeeiuzIkaAyuAt/D34ctx7773t+9IUD5YrrriifbG+n0UCjzvuOAaKfW95xAY9j55K94CgwJRgdEFwG7FWDwUQPDoQM+2hblQJBAKBsUbA5+D444+/4447Ou+o/YvLu7r9z7JR/ec1nn6zGEf6OMV/IBAIBAKjRID0yQyG+b4Vl2yRb/GVOb6WL7vsMiLpKLuI6l0h4O3P5dqyt1o24mCR1a0hlopo5BZbbMFr3FJ6xcapq8H0sTCpmj8DC7Ew8OsEVR96y5/s5QTjsomKOyF0FJ3gFmUCgUCgPQIjkojGAjkzzLHawxtnA4FAoAsE0iZoZFbLvbkarwBOyZa0G3epy8UiMRYIlK4gdkbvgYFYrxJ+gIkdcX9Awhz5gBkPQpt23BsL3P7/9u48/r9q2h/4I5QiQ1LGkEbNIk2IZgkZS0UoikJKbhK3TIlbCVGJopQp0y1cZSwkSkqFSJqUqcyp8Htq3d++2znv9/mc9/D5fj/f73e9//h89tln77XXfu21115rT2cho2nrl/M51oicBjEjkB7IQta+WZ1EYAFFIK/oXUAbLtlOBOYuAk4g2Kwf/MX3H4RdRu7iI6vAzGJfe9huu+0cFJ67dVgoOGscBdliiy1GrRYPxNEOJ4xldC7ckYxRKcxGesa0MyGOHMzjYxWzUZekmQgkAonAIotAOiGLbNNnxROBSRGwE9R3WN365++yyy6LnLMHtpwKeBXU4/sPwmavd911Vxv9I95HEo477jgHheMx/04dAZcBuAFJ06Ds1Lh7isrVtH3KciU8j1EbufpMekd95s5C1izd6dQHlkyTCCQCiUAiMC0EcjvWtJBMOonAooWAO1L33Xdfpq2zH/bG+PkGhSlzp0FqIJxUdiZEjDPETiY4DnvWWWfZFORTdC5BqlMuOuH62ykurnXvEw/twgsvdN+xCX5HOBzkgAYv4qijjrLjyMcx3C41Ej5WMJw+jK+CyHjCCSe4bMp1t/1/0uMnPBAUfEPQ+tVIPGTiRCARSAQSgUSgA4F0QjrAyVeJQCIwGAH2sVs+XfWz//77C8QyCHPZJ95kMGvO2I2crvbjrphEd2mStw4V+IqcZRBvXaXlePHgAhbqWOBw3hzi9+0Ue9JcXOsSW/c7nXfeebByfN8lVH4ulXKTrJtJXO7uKqeRIJFF3pGydCe2F8ttVN1p8m0ikAgkAolAItAfgXRC+mOVKROBROBfCJi2N7Nulp0v4XqipZZaqoGLj4E4/iHSlh4fThZgYW+66aaRzPVK4aJcc801EjTyLiKPtqtZFFJZt9D6CIZ1ISeG3U4r5qabbnKhre8JckKcn/EdepGxya0nOJdffnl8FaRn+j7JeEp5hqcPUJkmEUgEEoFEoCcC6YT0BCqTJQKJwP8i4Lt1p512mnnx3XbbzY2fBRdbgGJlw5KIbUXiffDhkksuEdhss83K1a72GoXvgcIcuW2pVGGeBezICvfM5/l8TdzhDVZ+wAI6S0w+yrHtttuC1A9Xq666ak/eLFLZiBVHQXpm6ZPMpwAX2cbqg0+mSQQSgUQgERgVgXRCRkUs0ycCizoCvivHxl1vvfVceFVfT+QMenwt28eqYyXk2muv5YTYnbXyyisX1Dgq4j2KX3rppUv8IhUoR2VOPPFEn+BwQP/WW2+Ngx/nnHPO6quv7uvgsL366qudqAFUz6PYPJb6KMgUIeWETJFakkoEEoFEIBFIBNIJSRlIBBKBERCwjnHppZfKsP766zeuS7KJiH8i0s6ruMv1/PPPd8iBT1J/noJh7cshlkHcGDtHrnwdof5TShpHZRDbe++9nTsXKGsjjqq7ZCyWHRybaQPYwYJcNmLZLzf131ZbbdVRbr5KBBKBRCARSARGRSCdkFERy/SJwCKNgAl7Kx4g8PHBJZZYomDhK+lnnHGGx+233z4+i27F47LLLhOz5pprxu4sYcYxR8WhBXuNuDEl+yIVKEdl+Bs777xzeGJlbWT33Xe3NQsgJRkvrgC4SAGVlU0EEoFEIBFYiBFIJ2QhbtysWiIwfQRYzD6Ljq6PLtd7sczZu3LXiscuu+wSJ5h9rzCcEM5GSXn99dc7TyKZg9fLLLPM9PlbECiWozKwCn8D17Fq5ChIWXMoyTbccMMC4IJQv+QxEUgEEoFEIBGYGYH8WOHMGGWKRCARKAhY/bCy4bG+r8l9sm7gFeO7FuUWrNidZRbfmklkd2ZaMnuxjj322E022aTQXNQCbt21HASZ2Iil+hY94kDIBhtssNxyywUgASCg+p9KX9SQzPomAolAIpAILLgI5ErIgtt2yXkiMH8QcJaDp+FLFL50gYMbbrjhgAMOuOiii1za65vo5Q6lOKTujHV8Ft3CyCGHHHLmmWd+4AMf2GmnnRblqf34euM666zjO4/RhAMXPZwb8dYdvo7vH3PMMa7unWft7fbkPffc0/3LfgIe51nRWVAikAgkAonAIoJAOiGLSENnNROBqSHgBt5TTjnFtz64Ik41cDwcAnGnk81F5R5ehTFebcey3cgpEVP+rnvy1W3fTffNEFu5psbNgkbIQfO4nNfdYuXzf7HoAcYVV1wxKlTWRjgABx988Oabbz7Pdq85saONXIfloi0/AY9XXHHFgoZ08psIJAKJQCIwpxHI7VhzunmSuURgbiLADzn++OO7ebPW4WLZI444ojvZovbWqZiLL75Yrddaa62ou8P68VmPNdZYI1aNxDt74zv0vBQxBx100AorrDAqUMhaP7H/7fTTT9944417ZnfBgM1yEnMaY1Frhx12cIznpJNOOvTQQ8syV09qmSwRSAQSgUQgERiGwGIGqmHvMj4RSAQSgURgAUXAZcpHH330Bz/4wSOPPHLrrbfuWQtHU3bccUdHU+SNGwgs3bhH2FoNV6Qs1PSklskSgUQgEUgEFmIEZnQiBiYokYvupoiFWCayaolAIpAIWEvZb7/9HCzp74EAzdkeF53ZRLfUUksFhk6k2JFlrcZ3JxPVRCARSAQSgURgWgjkdqxpIZl0EoFEIBGYKwi4qcxNAFdeeeUtt9zCCVl88cV7cma3mJQcmHJzgIBHkXHTQE86mSwRSAQSgUQgEehGIFdCuvHJt4lAIpAILHgIcBtcX7bllls6f+IaAPeY+Tokd6LjJ4FkcfPy8ssvX9fZYojH+lLm+m2GE4FEIBFIBBKBMRDIlZAxQMssiUAikAjMaQSWXHLJq666yrl2N25xSHgR7kc+8MADO5iWJZyNdpo4HNKOz5hEIBFIBBKBRGBsBNIJGRu6zJgIJAKJwBxFwKqFo+Su21pllVWw6OrkjTbaqA+v4Yf4bkmdOB6HuSh1ygwnAolAIpAIJAI9EcjtWD2BymSJQCKQCCwwCMRFwOutt55vs4zE9EorrSS9m7XK7SUCHkXGq5GoZeJEIBFIBBKBRGAYAumEDEMm4xOBRCARWFARcNOuS67sxbLJSh36nwlZbbXV1l133euuu87XEqPyAh5FerWgwpF8JwKJQCKQCMw9BHI71txrk+QoEUgEEoEJELB24Ty6jVi+h+jjg3HYo+eZEHuuHGc/99xzb7zxxvgqiIDLeTfbbDNfqJyAqcyaCCQCiUAikAj8GwLphPwbHPmQCCQCicCCjkAcCFluueVckHXzzTdvs802/c+EqPvuu+/OCTn77LP32GMP/sxnPvMZkXvttRciCzoyyX8ikAgkAonA3EEgnZC50xbJSSKQCCQCU0CA53DrrbfedtttzoRsvvnmrugdiegjHvGIk08++fDDD7/gggtkvP322z3GAfeR6GTiRCARSAQSgUSgA4HFDFcdr/NVIpAIJAKJQCKQCCQCiUAikAgkAg0EZnQiBiYokaPNkDXKzsdEIBFIBBKBRCARSAQSgUQgEUgERkUgnZBREcv0iUAikAgkAolAIpAIJAKJQCIwEQLphEwEX2ZOBBKBRCARSAQSgUQgEUgEEoFREUgnZFTEMn0ikAgkAolAIpAIJAKJQCKQCEyEQDohE8GXmROBRCARSAQSgUQgEUgEEoFEYFQE0gkZFbFMnwgkAolAIpAIJAKJQCKQCCQCEyGQTshE8GXmRCARSAQSgUQgEUgEEoFEIBEYFYF0QkZFLNMnAolAIpAIJAKJQCKQCCQCicBECKQTMhF8mTkRSAQSgUQgEUgEEoFEIBFIBEZFIJ2QURHL9IlAIpAIJAKJQCKQCCQCiUAiMBEC6YRMBF9mTgQSgUQgEUgEEoFEIBFIBBKBURFIJ2RUxDJ9IpAIJAKJQCKQCCQCiUAikAhMhEA6IRPBl5kTgUQgEUgEEoFEIBFIBBKBRGBUBNIJGRWxTJ8IJAKJQCKQCCQCiUAikAgkAhMhkE7IRPBl5kQgEUgEEoFEIBFIBBKBRCARGBWBdEJGRSzTJwKJQCKQCCQCiUAikAgkAonARAikEzIRfJk5EUgEEoFEIBFIBBKBRCARSARGRSCdkFERy/SJQCKQCCQCiUAikAgkAolAIjARAumETARfZk4EEoFEIBFIBBKBRCARSAQSgVERSCdkVMQyfSKQCCQCiUAikAgkAolAIpAITIRAOiETwZeZE4FEIBFIBBKBRCARSAQSgURgVATSCRkVsUyfCCQCiUAikAgkAolAIpAIJAITIZBOyETwZeZEIBFIBBKBRCARSAQSgUQgERgVgXRCRkUs0ycCiUAikAgkAolAIpAIJAKJwEQIpBMyEXyZORFIBBKBRCARSAQSgUQgEUgERkUgnZBREcv0iUAikAgkAolAIpAIJAKJQCIwEQLphEwEX2ZOBBKBRCARSAQSgUQgEUgEEoFREUgnZFTEMn0ikAgkAolAIpAIJAKJQCKQCEyEQDohE8GXmROBRCARSAQSgUQgEUgEEoFEYFQE0gkZFbFMnwgkAolAIpAIJAKJQCKQCCQCEyGQTshE8GXmRCARSAQSgUQgEUgEEoFEIBEYFYF0QkZFLNMnAolAIpAIJAKJQCKQCCQCicBECKQTMhF8mTkRSAQSgUQgEUgEEoFEIBFIBEZFYPpOyI9//OP11ltv2223/e1vfzuQm4985COLLbbYXnvt9de//nVggrkW+cc//vH5z3/+ox/96J/+9KfzgLd//vOfhxxyCIi+8Y1vRHH/+Mc/vve975111lmzVDrKijvssMNmiX432R/96EfrrLPOi1/84r/85S/dKRfZt3/7299OPfXUCy64oCAQncjfEjNJgMhdeOGFH/zgBychsmDlfdOb3kTmv/nNb06X7dB+Yyi3P//5z8cff/xUNEy7NcfmarrgTEhtWvUaGw0jmnGtY2gbqYLT7cJ10bOtLuqyxgtryjPPPHPLLbfUB+95z3u+613vGo/O5LkaeqDxOJB+G94+uQaSysg2AlPUhG3iPWPGVhHD6P/6178+4IADHvawhxH4Jz7xiVddddWwlItg/PSdkIUPxN/97nc/+9nPVlxxxeWWW24e1O5Pf/rTlVde+ahHPeqBD3yg4ujrd7zjHZtvvvk97nGPWSr9hz/8IcprrrnmLNHvJnvNNddccsklD3/4w+92t7t1p1xk3x555JG77LLLLbfcMksIfOc733nCE55w3XXXzRL9JNuNgJZ9zWte8973vvfvf/97d8o+bxfW1lxY69WnTUdKM9vqYiRmBib+wQ9+sPfee3O5X/3qV7/uda97zGMeMzDZ3Iyc+/DOTdz6cDVdTdinxHmQ5tZbb/2vO35rr732W97ylh133PG+973vPCh3QSniLgsKo/ORz4c+9KFTnzHtqE7D5+GTXHrppcT3AQ94QEeuSV696o7fJBQmyTt/XaBJOJ9neW+//fZZLYvta7lvVotI4h0ImGiYivsRRSysrdmu12qrrXbRRRd1ADuXX5lW8JsNDtvqYvbKGo9/I9ovfvGLY489ds899xyPwnzM1YZ3PjKzkBU9XU04R8AxtvK6TfMdd9xxMbM8RxibI2zkSsgcaYj/Y+OXv/yllYFVVlll6aWXFhs+yUorrXSf+9zn/xItLCEzH+bDVNZK5cJSp6xHIpAIJAKJwAwIxAA3Q6J8nQgsFAjc9Y7fQlGVKVdirjgh9lmefvrpT3rSk+wQXXbZZZ/znOd89atfdRaiVDf249ps/a1vfesZz3iGrXV2lF5++eWRwB67/ffff/XVVxe//vrrv+1tb7MJr+TtDsi73377xXY9FNCpd+yZfjvooINwdd555wUd7qxSPvaxj3EPDj74YBn93ve+96kCP97eesxL75zDRz/60XrWxKqcgrjC9eZ+ND2KVErMhv7kJz/hOuPEYzCmyieffDKaJY1cti2WKrfZloB9b8l70003NeekRi95yUsA2+bq4osvXnXVVaWUPiqoIl/84hfVQnqFapQvfOELdUUk61kXgJgDeNGLXoTUwKZRU/W11mSdJxjGoVMiwUn5+9nPfhYn73//+xEskRGwH9cZJJJw9tlnh/xoDvsvb7jhBom//vWvP/3pT5dXpMbSZI3sfSQnALGKiohaDJTPwga5jRIlU3H+ZF1iALLHHnsEqRllNTanvuENb0DksY99rNLrcyA1vOqo3Eavkaubeeey9CmUpVQK+gPPM9x000063RprrGEKs66OcBwoskUhmsZfbVE61MAKDtwNH5xoSlVuFNF4tGlYd9too41wC0ZgkrEoPVJK4AjNU57ylJC6gWkaND3WYKJs4kopSEXKaIg2OAPrUhMPQHRVUCDbpmyV1UZEWkUtQoOVdVdt160V64KEZ2zNX/3qV3RjlALAuoKFVJ8eURJHIMDRBWjdUInDpHFGNBAMSHXno48+Wtv5vfWtb6W+2lLabpQ+9BvMD3sM8OPcwuMf//ivfOUriLcTz9hGw0auWnJ0K53LycPGgqQS3/zmN5OZciCwW7YDkLa6GK8spZPJoqwaPSKgqKuv0WlgEiuyDVTEkG3V2XXXXT36K1z6VLRdt+oINWtAtIlL7ybJp5xyyrCysGEg69bbw/IOjB8GbyRmrjSUf0MvSdYH0nbR0XygK9aFTgGo2lCJXN3iEWmGYRj4d2gq2eueTsxCk+gj//3f/636hteiXkS2u0wtLe1htEMTzojbsF6GZ5hQdKSXsLULDUyG/aUwuxWajB0KMxSyzVf/c8dPAA9FveP5Pe95T8dAFmi/8Y1vhCQVpH/pMtdff71CZwRkWI3mYrzKTPfHglx33XW32Wab3/zmNwMph9awDusgciSw4+hlL3sZdDbccEPKxc/uI0cg3v72t992222RBjU0nVswa/7sZz9bw1DZ2sPbr33ta6xYCwXPe97z9IHnPve58jK+cTKQgTrysssuU2ijYcSIj2Q333zzs571rE022YSoidGL7F1iMVM3wXPJe9JJJ51wwgn1yQ1hQ2kpzp57PUHnJNklUsCqNCJgEWbrv/a1r5Xx29/+dhRd6AtIKY3eTtGrcv1KuGZbsiiOHUxB2LdQEje4Yt97FUakXH/4wx9e/vKXl8QlANjSFoV4d10ki6YpRCLwtKc9LTwECahpDQpJ3dWjZpXm3HPPFS4/qo157TjXtddeWyJLQBYUjDQahVB5fNzjHoeIVmPENCLJzO9///uSt4/kEM5XvvKVCIZwFgEDo7FBWwS1YAPayy+/PAksyTRTXZ3Pfe5zBFVzcJNKmkbDFfYELIsdddRR2223HQb22WcfWQiG+OhEaora9ttvb6epugvj6rTTTisUZmSePLPXUUZfKeh7FFkolAAJkYaElxgB4vr6178eyC5O8AgNpWPDDz+4wptcjc4YzIfAF2q0gSxUR3e39RY1NOtaA5mfHKSIFv0gwRZbbKFRCg/SaO5SnFfSlKYh27QN9CSzT71IkQYNgQm1hsOitYJUoy6NZAUQZF/60peCF3FhRZN5rYMIJ5xZoFJgdDJEGjHi+2jFUp0IDGvN4Aq29CfVWnQsNjR9XaM+PaJRqMeg/4IXvEDXJtvmSqKa8Kx1eB80UAtIqdwgBXOzDwOldAy0C7ftpqzrVTrOBhtsQBhUB24f//jHjUF+ZWjr00bDRq5actCBHj0WZmvhhFPnHDw1GyPdjLLdrS6ix/UsS2PRb9EjiG7pRzpX0d6mjQ488MDS10qvKbJdKlICZJuEFyekKJwiG92qQxG6ySMf+choF9vMvvzlLxfidaC04Ix6u9YD6NePNUHhYfBGLoN7t/LvA2mjxHgMUWENUx3ET1uEkaODmGUrWWYUj0g5EMOCf4emkj163JOf/GT6yuiDlH6kycgJe1r3b0SyvQt7M3aWYZqwD27DehnjgZBgb4cddoBb2JaamODV9kxhMgJRTTLGQwiFOVChSdytMEMh/+d//ucj7vgJFPWuiPZABkkDqPrWbNDbNIO5AMyzzcDYB5BGjWb1ET/dP/Pp7R/jIX7/8qim+4v2qzV1g370qDIG4MNARSxcCVWGQz6i65KIzmc+85nIHkImmRGulh6CS8v4hRkkMTg+//nP60vUJRFslF4/KpoJpZR3vvOdUbT0BEUpPI0wxa644gpnxLk3rHN5JdADSSf2zATceOONwOV+yEIB0Y9sNVYLDh0zFamXlhKZj8oqlCNeKeHVBP9KUZYSlSuBuuCnGHmRJRAmmgyvYLKwzYFRqUiGoIySGc4jJVatqOChTmaWEZ9f+tKX5MI2eD1uvfXW559/vkc/egQRuWqHqk9dYrTTEFaN0FEXXgTc0C8+j3I94iF4rgfmiPE3Ihvmb3kbA4BSiokJDU4LsnWkRuGB1Ej2lBwSqO71sKoiJiaRYh+wEoKTwoZBUQKR/kIbG6XFw6usvamShhyWhitVK4EgXixm8YEJxhShWSOlonHF+1JQxPRkHmV81rJaii6BECemkmYtkWwjFlIpER2Y64zWfyIN3qwH4kqLFN97YCvrgHQCSSPehX4jEBLVqDVBlSsMNXjqy+pSjzGlhxadg2wDUrKNrEG0OLr4MeojFYIXna6mELw16tJI9vOf/9xIA5AyqSGXmxjoEMWVBm3XvadWbOATj+3WDK7UhTUZekxKFhU2xugR7UIL/RpAszbok4dSzZ5oBKRG7YZFPqxepVF60m+0Ubs6YoKHGi4tSCuCqwxtPdto2MjVkJx4jGmmwpIqk5NQDmPLdqmOIoLyjGVJpmhtpwVj9k0MHa4v4MdkOfdDTOiEekTWQ2PgrgeLKLT+26i7V1HcjKojum2tQmuydbin6mvogcZjTbCE22kiBlwdyl/2PpCWUupAwKX/GigDecIQRk7Rq6OKRwPDkfoOTuoB0ZSomEYks4GolLGvZ2dpa8KeuA3rZTHH6uJB+ASkofeoF4dRa5DrcK3QistdFNp3v/vdSNzThAjeit6Q11Co4eBTD980jEapFWZho+Zf9rEFqa7jFMOw7f4Zgts/IhG/2dqORQRj7cnyU+MXsyAhtf5effXVhPipT30qjb/UUktFPI/QFN2DH/xgqqTsiPBKs5mvvctd/vc8PRxN87s1hYPIcI+8ittqq624v5ZiLV9G5MC/9hSRBiub5COKXmaZZaz7m9IgELEyzs2wXQoncXeTRwwTDqtj3AOOx53udKeVV14ZfXP5rkDYd999rZrh0LYikZYjxEfpxlQ08bnEEksUfhjHLDZWFOETyYCub+Ki06+88koTHga/yKItTVCJ5LkxgoMUtk2NICK7SkVKS/z625JLLmnkiJRY5T65h6okw5vNWvzs+93vfnJZ5j7xxBNZEh/+8IelVAs/Qy93C+c0rNKDeJ+6UJcYQFzXQke7POhBD9KsYqwzBiyNU+naAn0IRyn+aiATkMTD7poS2Q5wMGK3hlfQwLzAzjvvXCI1CmcMP9rOq56SY9wFo7mQ3Xbb7e53v3uUqyLoMy5R4y1HZPzFxmabbSaBR39NCym0yBJ1xrd0vAeHhZR7z7QOt4H+rUn1CT/zmc+kyzRrJCZauFKEgsSMynx3ifbsMfS///3vM9NLSlXT+8Tf6173Ing6MtEyJK+11lqRBm+YfOELX/jpT3/6nHPOKRnHC2gLigU18wul1rY5kVjeuE4R/QU/NhMSucKDHq0hjCIDQZbXCpUd6swpIhq5KISddtpJLiNNrYJG4tx5J3xaprNvoWSkTKzS6FD4KZGNwEhasZF32KNx165LKjQS3P/+98fGqD1iGHHxdFQNIIX2ile8gjyQilBKI6FBwVIUHcW1X41Ev529xNDJxp0GXB55O+AqyUZqo8bIVYiUAEljgtuqEeOOeDrKersAlXLnO995PNku9OvAjGXpEbSuVrM0FwOT7DqUfkfhMH9BLYYuBYjhqfQ1SlIaAyJPuy6xOzyq6qAzuw/4Tlf1dTNf3nYr/56QFmrtAORtXXOywCuDSxg59KoJQTGjikcDw5H6jr7ACSkDIlPH0KO36iAl0hAgsox9I3WWuu4j4dbuZQwV1IhoDMrC9B5bwoBV9+W6xBJWTWNZmEYii0IzWDCEepoQhVod0GQajtVqiCkDmeKsK1KYup5al/TsOsqw8D8SIIXIXA7MlhPSv85McHaMBdbGBbia3OYBb2tZYQkVmVCEWT3NyUYk7nWJdCKFTpubJa3jG2EWPC9CEYxs7gpnTgLajernwNg+6JFL4C8bwjAgEPfJUgfM4iI9YdkwecUXWQlbjU0T7g2bmwFnnK7NEQR1TqYV+WMle1RZ/OjP9al0Ov3e9763t37Y0DFUnG8QMf7qD+akGWE8peBTJwlr27wU4iUlVcWslyb49KiCoMYY4WYuiKFfapDlDS2jRlHTnnXh/yBrSoy3hjdMBilWnQk/sPBS6D6VDd/DW5hrTcsLYbWI4WTq82xKLeVx2I+WiYpHgoc85CEC5KeOrM9B9pScxRdfnF3FMmhcIklyQjwa/LRLLDaflNSfyloXeve73x3zKyLJm3UqN+XXKRtkhz3qDkXpS9PgalTmh5US8djj4dDppj8jhozZDKBSG2+8sRjzPSRcTyweSCTTGTn5wuZvSrPGq1H/oq+DaIsYiSO7Jj700EN9VAd7mLQHzzqVC7Vr4pq+A16epJNRdD3/vM6lNTX94YcfXoNcJ5gxzB3CmOnAohYiS7cwSzOSVpyRjUigdg3TrWajZ4/oKEtla1UjZRgi6sKs9zgSGpRSaM6OEhuvRqLfyFs/kjGzJD4MFWqkvCLbzPfyOFIbNUauQqQENI0xS+cyIkQksSR+pJpkihlPtgv9OjBjWbQTTsh/o0ENUnEALyaPjGU0vGVtWro46oxjg6kl07rE7vCoqoMWbXSoBv3pqr4G8WGP3cq/J6TDiIunRcvslUd61dyKALSNraOKRwPDkfqOfkHtKzp+uDLjTL2UGRzxjXPYI3WW/0/4X/9Hwq3dy6Lv2IhFD5fRh7PEblTluqB2mAZojCOh0ABOW46tMI2bccBY8xXvPUpnBocSUOvCj0mrWlGPBEghMpcD/ztZOHUWdRgT9gMNNfH1YkhY+f7GpqzCickMg4FVCIsPsdTgFVmv+6H5Y8a3NR1bPhojVvgApvlZzI1XpQjmC2fUfKRFsU984hN4tlPftFORjDDldW/CHbnCAjPzGj5DHckrKAVRCnFoPvqAZI72Gtg8GlwLAwKxXkGzx5oGA53vVHweCOi9tr/X39BQX24b+8+yIK8AUExDDjRqHLmgo4ewqwyZjZ4WxcGThyA9+iAybKhjCLcxz9RyzaGwaQOwK0LRHnvWhenGgtdAjoX5WauxsVJNi/OmpuobLlCUSGD4P8YkHpGKYE/Lcu3iUESDq/qxuDF1ZEd4DMnhnnFByRVTmJvKPmjYrIqjLzoKBSNvyiEzEx5+1I3T3hqXdBWR68jeftUwktoJSkwf5kviYQHLSowSCxrYJuq8WaqcwFjbkUVrEgxrRMVhLnS0KckvzVriRw0oUZY+ba0D6gL2GFiK1E1s1dNfwhdqFxqc2/47trPRptmIMf5hHj8EHoD4aSRoPI6kFRt5hz0Szuj1AxOM0SMadNCv1ZS3tMoKK6xAEVEd9RxTHzT6y3aDDY996LdzlRjWf1vrekvnU4OhAz2O1EaNkauUVQKMNkOPyQgGCnNWvIkbit2UUGMYHUm2C/06MGNZuipZpd/cl8Cgr/OG+0GMRTpMb5XPBkhTctrawpplEFPs+nu3k1ATFB5VdXSr2Qbxqai+Bs2Bj91c9YR0IOWIbA83cOZLGLhN59W2Rx/VN4zbPn2HBm709A6249VInaWmNhJu7V5mgoyImviz8dv+GtsLPbKLajOyLq4OtxWaAUIR9hpQ5nTpeMYnhOlDk610Y12csMkygykLIWZt4i02ar09EiAN+nPzcbackP61pSMkLrse+2eUUt8zAcPcNxU6UsaS2NDoQ9E229CkZ5xxhs0eTF5HgcNVwBuBIy7me2Rh8RsYPFK+hUJE0gXFU/JKRilFFoOJTudQ2YxUSz9xdM894jHqtH0eXZeCjrdRolUCW3LjsEHE0P4MQVCwbEpK5rJxgoEbnEfKKE64LBxxwFTQRjhSHg5Pg8PIaFTmCuq60Rn61CUyQsDGBsCa+3fiys+Y6hgudSBB7QJFevQxLF51dEgZuVsqW4MWKSf8219yrI/5uK/vRZbdRAC3z4qjCM9R2XB8wmyKg7af+tSnVM3vP/7jPxjujA9G8KjUZkw/XeYJM8eJkWSy1tJT7MWyoFzb7hz7YfYHxT0GYqWOZhN4FOVxWID7appDd2ZHRhrCxrxrzOnW2al11t5s4K8U/csFRxbfdeQoFIZkgPNf89AIT6IVG6R6PvbvEcMIMoPqhUfJuNYNY2U8NIaV2I6fIv12dWgnBkHZRDf1NoqVFj6zRXVlWTlUQXNbpUONIdttiCKmuyzCQAn7mWoZRkE8iBy+4tvzVWzWper9xLvOQXztdnYQKa+mqzqmq/oKk2MHekLaQb/RlaTkTNaRE4rHFPtOuxZjd5YJcSOEH/jABzjJzDwiypbwM4K7bMY8YD1ytXlua4DYawAoiSdUmKZiS79uFI1+GSwar6LcO7rmDH2znXHOxsz/7VgxB8wJMcEz8MfCHgYftSU7JciMGJg3tv0Myx7xKJjCseeHUWW2nrlgfVl/9pbFz+Au3+gwWWj7kCk6MxCFZkRKU291YLKjZoa7OLs2hoU7UY/T2DatznOIaT8dlfwVn0eNPNaejBi3xOhFvAvbnLBnGcS0h9NXFvKY72U9NLwLlmIsjAS3UnLY+BJlNcbCiFdMIn+5QDhsdzyv1IVJVzzyPnWJEv1F0PQYB4kRb0B1Xt85fhXxKpgsyzJiqFSlqJepAtMMnBbnJWyILNSmFegpOfi0FON8EbPb3RQw591ptU9+8pPt9aI+vNE7rGECRpCIFltZczM7rBEV46YPnT5pps48lW0xhL1ObEiLtQWN1bDdxUfjtjnUFwhDO75njLxFvIdlMUsN0t13310C26gswZsm1Bl5fR0z6ya3yorlMMrjxetu7pmgUnRYbqd+pIvx4uiZboKTaMVuysPe9uwRw7KLbze95ogNnJFrbDQ6Cq1fTZc+p1eNavqN6ky9jSjw4uQbVjghOhf9HzyMJ9s1/3W4uyzCwFArJ/716MbPWfmgxg6mokm4XmZKhW3H52fw6X0xhtaFdofb8lPSj6o6cDtdvV04GTvQH9JhRTSkUTIIl/41oXhMt++0qzB2Z5kcN8MWr97YrU/ZwuDoDvZMDMWNI21WS0xbIE2imZBVF1z5CYxtfHKSSWkpqw4wCRqLn/Vb5fbsm3WuuRye/05ILDIyyIY1SQd8msreRHYGu7Aj2cBXpktZhP7G27AOjznmGCshpn/YmuLZwZYvcBjHCTigtlRxLWoHmnkqDcuy3qAVGR2liEjjmYyGE+JVM8McYZ2LtFFHvE4iY/F5+CSWU+rdShLY726gMnHOcWI8Rd82Q+xMuf2LYtCBpG2LJDW8i1Ii4pZWLOPEHFVZ2CmekpTtjhdODmpWNqHUsy6WOyQuE2n8fvYrnxDzVhtVRFmxRFszqYPhTa05IQx9m9/cTDf1ZRBF95QcGofLx9Tmo1JbMBfm15kFif1+BdtRAxrOwoIx244m53YAFfMro9LpSD8bzGtE9jrziM3Bd+Iflk0CJERLca6icWvGJOa6SBDiWr8qYdI4oxsIbaYvAAAmiUlEQVQW3bCNvNYhnMwOEsVxdRGCYzbO1FqwMl+gUPvEOlSEWWc9GlnNWvgRsCZu46jd7bziOr4Ok9X6sQ7rhg5ZscyOOOIIeoZioSWiCmXff52+Dk+iFWs6/cM9e0QHwfoSjkjG46JIdRl7midBo6PQ8mqK9EFBJ5OHYuHV1SklTr2NKBbf2dBT6D3awOigu5XNjePJduG2EeguyzhimLNYV056NLK3H80ROKxlCoByoCKMifRPO9nAmAlVR5vmbKi+dikjxYwBaYN+Wz3Sq+SEhQD8ScRjin2nwXN5HLuzTI5b4YGV5RjGhz70Iet1nHAiGuszJUEj0FZoYaGxOakIv/GMT12Po25WN4zMulD8aEfdoWO2boqA1EXPx/D8d0LYoMZmhikTuQaCxU8jG7k7jDMmvglpWtuUp45UZ7cG55VTqjzOOr6Ewx4yqV9P2IhkJZhUiFkH0wPSY489LcDAwlU5vxGk7Hoy1jYiybe3ljhY1QIhW7U7IRLxOAZT1isQjwWHWGNliJNIgwGhjLLUBW8ew5SJSDGuU2DrWIqJEYvbYK7aOGr4jzTxV4nA5IQEfT2qXtjRqWSxMlObXEpk4ZnoMt0Vc/896xLw4qpuF9NmeheGkWXwKZ1jVi8r4VMt4MmJckpH6zcm2uvqTBLuKTkGM41iEr0xB099dFifwxgzPLPaHZKrMWH+1k7gsLxjxE+X+WAAFFqEkPBA9DtWflGXlKPlOJIfu8YLw5rbLkePdoDQvwIhG3HAoyQzlTCjac7KIfz87brP6qrMNQIPRp4GrnSZ2O9XiGus2MVeYuoAE5nkE7mGqmGE0Q9cFN0t5r1AWu8oY6J1iEHxVPW4UCBRqO4Zl0bUPDTCk2jFBqmejz17RAc1jrS5pDoBSSAP9Abik6BR0xwWniJ9gkRWeQKN6tCfodiDh9loI0MGO0kpBkSl2EZYJGc82R4Gl/iOsphoeoQG1SlqCvqaS1w4/GaIhN0G6fCuZHUavak+tVy/GhburzqGUWjEz4bqaxQx6mMfSLtpmsWvfUJ61QwmfRiXpkwiHlPsO8OqMHZnmQQ3cJmKMidlCrhmzGheH/WuX9VhY1zDT9AxjT6h0MZWmIaSsGo0n0asSzSwMpl0vQ72JgGkLmvuhOe/E8IEZ2vqYD52w/oMaBgZNu24osqyQMc+Cs1pkz0nwQoG4Si2ncHPBgxGvK1c5Rh0A/ToFW6kdVyBWeAtkTWZyktmSzHfKVlWiCaPwx4e2Tf6PBOnkGKR1Ic6Il6XDvOaMEUMTlj2uPUqCrL9zCYlgxz69HgkC3+mnEqnViRgAIXRJg17SHpiikkrEurLWfc1A3att7yIMPLYc+Fs1LtyC/+hs6RHX3bViYUdPpKdWlwOB2xY3hIwE52FcIqDSedyz1iR6FmXsBet2JgDxipqZqNdd63jecVZ0tbq23DMJBMDZEdTnGe1cqqri5z6r6fkKB2GONH0hQegGYnDQS2RfQKEivflJpnYBRdZWN6E3wJRfaaoQQ0mYoysjfjux/7Mh/+pgWoLeyBxLoc9dXSxptQxCUxJRvbcxktUgFP8EPXlwZIBJwKtI0ViHZbzaYduWdMgDLrwjJBy9RWhz3JQUUZNF7ArzB5FOkR3I1eI80nqWUPMYKnolsJwCaiUzsi7dg2/xo146S3c6UpxCp+rzJdgbxmZQs9E1ax1FDqNAEBiLNG+ZbCh2dTUFdh1Yv2a3aa74SHiJ9GK/Vuz5qFnj6izNMKaT9UKznq3gwFknopGvD8aDbLlsbtek9MvBdGHPm1GOImNyeaIJxhGilI7kZO0USmrESBmHHtn4Wh4g1etE/rLdk910VEWBGLHoEW84jBHXyO6WtOY5a9erJX17gKLNPx2Y7FdANqrUbthj/1VxzAKjfj+qq+Rsc9jT3gbpPpA2sjSeKRq6NKi94RpQnov7qPvLx4Nsh6n2HfaxCOmZ2dpa8JJcDPZyt9gctgKW+atACjGgG40qSdz25xLYxa7yLZxxKyxVT5dg/D7jW18cuM1HH3C4IwGVbqOprthye01ZWqvzdUkgLSpzYWY+X8wnYXt2xo8TiOWE8COEJkvt+nIEQKXULmuymMHUiwP+2T2228/yyY2XhMRhjsbxWEJNoQJrWF52fquxnIsWBF+JRkKzG4tbTMGU77scWIfeFQcN6Ak5rfQwjpYHUlqRdanRNgibH1cFYdKFiOc+SSWX+TlJJDChpOjIHLv50CCm3lxZXcjP8HHTPwKG5YpaiuZXevRaftY8Yhkhf+yPMJQUyPTfnSQNOTeXaJ6mmMbfoU4Vg877LByMKNPXeRlnoKXVWdPvF+hxoS1v0UH5ufw8eJirvJWgKtj6Rb/alrbuHWaqYT7SA7T0MFrsDBS/QgD/4GUMqntE7OplCMHn578GL2IlrveTXCiYCZSdlLBryOr5Q6DNjWalGCQc7BArOfqUH/mrVOzSKxTm3ZlXjD0QyTanIjhojPHfSvAVyDqc1BeaS+9mL+qguAi7Tabsai4WDzbMj8KMd2cwnXpmYCMRFqjEwxTQQMLjUjyH/etkSgXnlDlRB2AjCGnDFkeKCtXT6ENBMgSn4G3w5vFjF4J8IG2EYbJKuIsPxmRChWkOm77UTr8wcI0dLlKqZp1SxvqtMtAnmOUUjUb6E0c4Nbao0cDrc2KIssqCth1Qz1CN9fR0FejsbViuzUHsteO7NMj2rlKDHm28RqA2tSQr11oQm4JstL0R6MQbAS66zU5/bo43VMDaSbdrVSHuVCvsE04ctXFlbBaEEWbmmhm38NR5fKqv2z3VBcdZSmU2Nc9guqjfPRlCJjzCmXl6kU90WBh3QZKelakoR/KFy0K/92Bnqqjm0h521/1lSz9Az3hbRPsA2k7V4nRvwwfofcM09qCp0dlUVbS9BePQrAEptt3Ctk60LOzDNSEY+OGmuHbHBCUnJslriyiGJLYlo56SlAz2Qgzq6wEmjvzXRHz1BSaBM5zMh0j5dgK08wmm8qsU2MgY7W6FanYWg1+yuPYgBQKcytg6mK6P5Y0O77jvE5chNU49GaJgEWu1Q32AKKIqTZ2c+GN9YDmMLIcD36IfigvU8/JVAsUxoySfWBAAskkjrkN1pVRx4xXJDYM8GFICfkT03iMNCb/CCLVEOsSEWkdn19RvhUakawlW/9pcGX5YDn7OwiWvAwUjjVdzDeILOFHSS+XDVcRiWdGVUwqexVXvlptrFk1eMAhPoIeufwNVmvYBybTMXQPUKDgr7BtcoVIBGasSyTjVhmcWFQxcmtTrr9qxltKQRG6dIN4NDQAzXA3Xg18ZHGiY6dT/TZkrHHbwcDIGSVHK5iCCsBVRHWcNyCuwT9LOsRsIBttoW2InBbsI6v2prNLJFZTraamA+simfbV+/TBQKMn8yFUpmDRZ35ximowG2F1535ICZbGK4+NCnI/NDocGimxaqnTW3R0WzASDBjWzDeylEcp0Sx5GYuEtrxF2X3Q8TbgNS9LFElazXO7vXBuCYXlp5VpIbqIHyJjoSwBUgTAW2l0ZzgTPGSLpIX2q3uZZbSgKVl0AWjo43q6ybACtWUuI2X0FNNjUeiMWrHwVgfardnmKtIPlKIZe0RdVoQLfS56aDkVUeu2Eu6DxkCuFNSnXn3oF26JSrsuJSbUlyURzU2Q6HMecnsMmrGN2kogihhWTWvmZI8XyqAvzESgp2xL1kddoNlRlrcAr8dH/dQgSzyCmfjbqH4MGXV/rBOX8MC6N4rThduqo91tC81GoKfqaxBsPDZoxmMb3oG5BrZ7o44DIW0XGnBZg6KRYiSSMazYOnFP8RjILTpj952BNR0Y2ZCWtpmHjYGacEbcBhYX4DAjGZPKooFDCTdsyxrDCIeKAFQxdYYpNOlnVJjDeKttrdAwbi5R08JPh6aaEZBCZB4EMNP9o0vbP7sD4rcYFqNt8m8iMBcQ4FCZbKYyrP90L4LNBW4XQR5s2bLsYGrfJqjwixZBELLKNQLRZy3Qmcbr2EhQZ8lwIpAI9ETAhjc3ZHBFTN73zJLJEoF5hsCMTsTABCVy/p8JmWdIZUFzHwGesfkeU90WoNIDmZvtZanQgoAJubKvb27ymVwlAolAIpAIJAKJwFxGIJ2Qudw6iwpvfGKr51b0bESxBG++x6GxRaXyC0g9+YcayCEoR0csUjt/ZSfxAsJ7spkIJAKJQCKQCCQCcw6B+X8wfc5BkgzNcwScqHHA1zlvJbtQzzmZciHYPOclCxyMgAvfHEByFNtrd5fFaePBSTM2EUgEEoFEIBFIBBKBmRBIJ2QmhPL97CPgLh13kTkA6mi+a5RcPzL7ZWYJoyHgviw3aNmL5d6b/fffP7f+jwZfpk4EEoFEIBFIBBKBf0cgD6b/Ox75lAgkAolAIpAIJAKJQCKQCCQCMyFQjpgPSzgwQYnMMyHDcMv4RCARSAQSgUQgEUgEEoFEIBGYFQTSCZkVWJNoIpAIJAKJQCKQCCQCiUAikAgMQyCdkGHIZHwikAgkAolAIpAIJAKJQCKQCMwKAumEzAqsSTQRSAQSgUQgEUgEEoFEIBFIBIYhkE7IMGQyPhFIBBKBRCARSAQSgUQgEUgEZgWBdEJmBdYkmggkAolAIpAIJAKJQCKQCCQCwxBIJ2QYMhmfCCQCiUAikAgkAolAIpAIJAKzgkA6IbMCaxJNBBKBRCARSAQSgUQgEUgEEoFhCKQTMgyZjE8EEoFEIBFIBBKBRCARSAQSgVlBIJ2QWYE1iSYCiUAikAgkAolAIpAIJAKJwDAEFkgn5Jvf/OZiiy32pje9aVithsX/+c9/Pv7443/605+WBIgghWCJyUAg8M9//vPMM8/ccsst4XPPe97zXe9610BkEtKBsEwr8qqrrnrPe97z17/+dVoEk04ikAgkAolAIpAIJAJzAYG7zAUm5g0Pt9xyy2te8xr+xmabbTZvSlygS/nBD36w9957q8KrX/3q+973vo95zGPa1UlI25hMMYa3vNNOOz360Y+eIs0klQgkAolAIpAIJAKJwPxCwBx3KXoRckJU++9//3upeQRef8evEZmPELj00kt/8YtfHHvssXvuuecwQAZCOixxxo+KAHG9/fbbR82V6ROBRCARSAQSgUQgEZj7CCyQ27HmPqwLDYdLL730QlOXrEgikAgkAolAIpAIJAKJwBxBYPpOyEc+8hGnCPyta2hT+1577bXeeuv9+Mc/jniHMTxefvnlZ599dhw8WH311d/2trf9+te/rjMKixHvrZMJL3rRi6655ppGgni8+uqr3/zmN2+88cZK91t//fVranZh3e1udzvuuOPsMkJKgjgH0jgTUrj66le/+vSnP12Jyy67rEIvueSSRqF/+9vfTj/99ML5G97wBusGjTo2ssSjjF/84hd33HHHhz3sYdhA/znPeY7i/vGPf5T0M7Jx0003PeMZz1hjjTWsV5RcETjrrLOQPfLII+sFr0YaBzlOPfXUYL7NAGRQ2HXXXeXyV1i92scShkEaZalOA0PIN1gKDJ/0pCcFzm0cGmzHYwFnRsmJaj7lKU9RR7UA+B577FGz8dvf/nbbbbdVu29961vwlAYmZFJBWBXYf//9CZJ4vyc84Qnve9/70CxchajD4cILL9x5552V4kdarrjiCmnIjHBEvuQlL2nLLVIIIot4mzfVJKi4JbREF5+4jaJnxK2jXg6ZqFR0AX+FxZQaZSARSAQSgUQgEVgoETCs+6la/C11rB/rcEkwLNBO3I4ZmFeynikHZl+YIu98yCGHTLc+bK9PfepTTLp11lmnULar5H/+53+uvfbaZz/72Q4YiP/GN77BgP7Tn/50wAEHrL322rvssstf/vIXNhlzcNNNN400knFamHcnnnji5ptvznC/7rrrzjjjDBbbJz7xiSc+8YnldAdqTNgvf/nLG220kfQbbrghC5Kd/ZOf/EQy0/nstuWXX/7WW2/Fycte9jKGqa32DEQZ2cqMxYc85CHB1QUXXKCUt771rauuuipu5f3MHb8NNtgg0kjGfOTwvPzlL/f2xS9+8UorrXTaaad98pOfvP76670tdRRu/GR87WtfGxl32GGHJz/5ySh8/vOf/+hHP6pSa621FntUFlx1s7HUUkspixHMRPYrpdjA8+EPf5gRrJQHPvCBJb4O3HjjjXZYsXEf/OAHM8p5MvwWCC+++OJwu9Od7gSrBz3oQfe///0vvvhiTgg811133TXXXPPOd75zTacb0p///Odas8bws5/9rIMlNYZOm2h9rfDc5z4XvKx5u78KG3VZdbin5JRqrrDCCk5W8C60/sc+9rEvfOELEIM2mjwrsvrDH/6QPwkuyYjH9ttvr1GkfNaznvWzn/2M/AhwmEkmibr55pu5DUsssYTsIeowByaCGlTzffzjH+eT0C+veMUriFxEat+LLroID9ytqAv2XvjCF/IVV155ZQF/Cfb73//+hz70oaBGR9fQQFdeeSXw+TB3tPP6yiVCM+I2rF66g46J7a233lql7n3ve6sR0X3kIx8ZgARv+TcRSAQSgUQgEVhoEDAiG1VjYP3d735n1DZPytgoFZTAfPcf/vCHmA6+y13+dVRBpMHUWOz462233eYVA8mv5BL/q1/9qgzr4pkQbLN73eteJU07wNb95S9/qSyvUGtYVu30M7LRzjIwRgXVYskllxz4dr5Fqt50f6eccorK+FuTBTrDlzn1ox/9KOLf+MY3SnaPe9zj5JNPJhAioXPCCSeI2WeffaQXE7nqNISA5c1glReFIEWk2P2st6997WsR468GZmHXnLR5kCzYOPfccyNjPCLFn1GWSH9xiM6rXvUqZnck45Xg6qUvfalSIsZ0Mo9CsrqO8ar+Gxl5QcQ64tHnAzzgAQ8w1U1EIrIPG9/73vfkesELXlBIyUv6WbrsS7ZyXW4JAwG8+ORl6T8Rrz+wv9WIPVpSDmzH8jYCHZB2Y6ijvv3tb8cGHxiRoGb+nkeHDSg1CqofA5xaKtqSA9V3vvOd6FsN8zayE7OTTjpJJFGMQn/zm99ss802Yg466KCSTGIeFE+YS3bZZZeVoi1laGLlFmkJiMSQyZAWkPI9EKwjUUZfJDcsqEUrSEPgS7khQnD77ne/G8l0FuJUuBXZE7eB9SK9ZPgRj3hErAVFEeS8LUXxKv8mAolAIpAIJAILBwIMgM997nNvectb2Dl2o5inNv+oasZuRtRRRx1l2tQYbZrSKzO58erb3/72O97xDvODLlY1NWla3K8A8v3vf58lJn2JsUvF5oXyWAcUZOhH5JhjjmH1nXPOOfg577zzilVcJ67DMnazUSceFkbk3e9+t6neYQnGjke5+wf5xo8lU37/59Ixkub9zxww/yE8S66nsE1QpqUZf5jxVyM985nPFBlpOLIe7bmqWbVwYXrYFK9lkBLPwrPc4dFcconsGXj+859vjUVZ0vv7uMc9bpNNNsHMH//4RzG///3vWZ8Pf/jDX/nKVyolaLIdWZ/lcWBBzE2LP5Z9dtttt7vf/e6RBn0+FZOXJ1D228SrbjYsMvA39AHrS6U4TH7nO98RP8wRlwC8KLv56q53vWtktOhh5cS8u1l8XahQmyTQzby9c9h46lOfypGzqhMF3ec+9+EgYYMTokG7S++WHDpFu8PB+lhMaaBGhCxiaErmPl1Q6Gu17bbbriQT71oqia282bBUkmFsiy22IAOyl0gBAvm0pz0tpAWk6Iu0AEL8IhJl5Ypk/fvrZy1C9S0x+ZVyQ4R41GRej42Ujb8j4daoF861vjUuXkchS/a4YXwnXmuJzEAikAgkAolAIrDQIMDCNv7yH0wBm3I16tmCwXkw4Bqm2VGGRfN9bBLTwWptY0sxEmxRMaNthpQ5wVwxkqITyLC+bJZmbDCpu7HCgHlAnsyKK67I7GGcPPaxj2UkmBbEgP0d3dm97WCj+A8dRJSi3DCS6/TCHbnmwav57ITY+lJMYbW1qsWGY47HUQd/haFWTHZppGcL1tBoG1+0sLOlJiUBIauT9Q83th7ZnFN7F85+kGbWm30+NU17Wsyd1zGNsLU/M+I80cZ1t/bYDGS1mw0scV1wwhGPgliuX//613kUDSetZkNikAK5XkCUwHYg1DjlY/hsNf0S7maeFc5Zgthyyy1XsggwxGX0FpN1fDvcLTnAOfroo0026PB13kZTxivu3P3ud786GQVBKVg3CC+ivLK9qoRLgDtayydfxatVVlmllhl6qqQXIAPRCsUBi7errbYaH9VurliorbNEeCTcGvXCj613DtIcdthhWtnUBZoi7cQzM8Q5aReXMYlAIpAIJAKJwAKNADvbeGflgZFjE3LUhe3BA+GHeGQAGBzLcG/ykb8Rm64bFTe+21Ie6wleoSyZobaYYY309SPHhu3nIIByTfgy3mzlYgixUkxAN+ag64ztcIMNCWye//SnP81CsIc8JjHxZo3FdjInDmwI98iiLmdTzTzaB4ElaWLZp13KvIn51763+fVjqDWMP5ww6fxl6Je/EVMzyRasLbzyijOqIU1jy05KQFxejRQIO3JYFn6wNnve857XsCwZuA6H2FI1LGMdb6qeNHCjueBEBLftanazgRpPmhuta1kFYs4SaGt2uhk26rLqsDQe5aojhdVF12IZ6x6NV+M9djOvnyDrb2zKKkVYLMKD8zCOTPCLSnwjMKPklPQ6HoPe9irLZbY52bDHT4stWCWNA0jLLLNMeawDjpFATHanKeAse/02wu2Ga6epY9AMRYCfhq9FX1iJsgqk0IEsjYRbo150pUUbB5CsO/txeCw8molx3GWgtq15znAikAgkAolAIrAgIsC7YHOzBBqmkfWN2GJjjcIgaJMLQ8jeBOljWGc/NOrrlQlchoo9zzGFKswiZSSwDAfapUHBW1nsfTDKm/ize4LF9aUvfYkpqETTrygMnIxuMBCPhQ0Wr4GeZWJxxh0/SDGDTb/Ges4NN9zAOVG1+NoYK8jbOJfrNKzi7NFgbzBBmSKPf/zjB5Y125Hz0wnR3o21C7VtWPYDY9hnDcsP1v/1X/+laYsNzcayn76smk0Rx8ZunJEoc8ct2thiyKKNjKTWdi+eN9t0JFISO0xs7cXyhV066ht7sSw11hPzA2l2HIQKL2VgrilG6nioxZmKMcj2kRxqxVENJ0PMDUQRtnvZZdd2wAYywM9094CpBbojEoDamlu4xwOz9Iw0SxHrvD6FPjALuR0YL3JC3DiotJ6rCyCva6igH8mxNhIH6IeVm/GJQCKQCCQCicACioBhl+He2KYeHogaWcpwc5LtDwx6xpjVErO6Zc2krjK3hE3PkLOBuezjYFrIxRLbaqut6sQlLBfTlAuEBwaJ7R4mUkVyjWIFhvnHfyjpZwwUNlCQ19SqvWSx0Zrl45HDw8fgdeDW4I6gLEEWD1wRk4+2PwBElZ13EDNjobOUYH5ux9KQBZdSvbIPryMGynUys+ZuWT3iiCPsMmJgWVsgH1bZ4ohwoTOtQGMXVn+yKmtRzD1gfIbXve51NsaYEScrVsTqG676E+RsWAyxqGeVTR8jedYf6oMxw0jFat3At2PXbiC1YZHR35jCMBn4Yy4Pyyt+RsnRo7gfu+++u8SHH3445cJNJSeOl8U0QAdxrwiPlS4eiE1fJgx4d1wRKsYtXt0Z+7ylAsIJLAfcGwi4R4tjMJDUhLihqfoHH3ywGlFPOgsHmDdi45nVp4ElZmQikAgkAolAIrDgImCEDQ+E5TCwFix1mwJc82MGMPaDuAyTbdZOjA5qFlUaM7ksfiskbIx2FjFyKSKyCLDTYtC3cYYTIswzaWwdH0inRNZsMIbRLEc9hc3Sxm4LpjKHp+QqAZyYTmXS2DfEOwJL/0WYQmRagRF8r0mKBFN7AQHu5t15kDXlOJPAMRVpicrf9ikFLW2iuuRizbvTwHGLQw89tPYm6xPbJfHkAf4xL5YjoVL1uo1Z6tgtM6wIC2cu2iJ/XJH6/mI7cMZmlROi2zBn+R6291hQa6wRNZiJUw2M7MbSm7qoETmecRWlQXC8x2DS+qPupzuNSmRGydEQzjm4XRfg9WkHUNMsXP+OErHk1Lidms6QWa6t2QNRR8aer1yQF3vV9IhuX6tNcELcCkEzQK4k5mhxq1wg9vrXv54TEiu2JU0GEoFEIBFIBBKBBR0BgzjLkJVv9C/TrAZ6lqSTutYxVFAaYSOsn0lMrohjHo2d24GDGUlbqsoySERaOTHBZ0wP27WBmLLYijH5a/sP38AmKFYK4w0p+2JYKaO6AcEGzwe35XBpGFTMuTLRXNuohSuVVTWnQUxBym57CKcr7nctaeZZYPorIeEGNHb1mIceaMDxHwpY6sy/hAVE7Hvx+KhHPSrQEV8Qkb7sZYrI8FI4lLUHAlmb4UquKQa4RkSHxR++ZqHMpI7z9CWmEeCEkGySWpvF0qDTdrQaeYc9osb9sPiDH0siJraLOA7MwtDkaQC5hlRKDrFzKeoVjt/AvFOM1L5a9itf+Yo7hWuy8LGv0eJg7WTWCUq4W3LoGmhQB6FfSi44O91RHgcGrG+GT1ifVJMSYjrtwCyjRjqdZhuenVGNViA/XlnAGTgHo5RJcKNu7EN1KxqtVxgO1VweM5AIJAKJQCKQCCxkCLCLmBzW/0u92Os+N8dt4A/wN4z7Xon0MyyKDNPUhJ1HkSWjAxjMpMbxD2Y9t8Rv4NjtrTPDJq+tP/jLPHY402SoUlyGKcDsKfQHBoaxYdbYK6YOUjIqiOmrUh0zrXdU8Z8mzS2S2OvBKmATFgQGlj6rkdN3QrQ0lB0KL7P7PDb3IsctBI3K2BBiE1E0MOx8xkEMGzS2ozia7O5UMe5v9lZeKaUXU9OJr/KJj2bwyuqS1QaXItfJzEC7OUrzx8b6+tVIYbvofMKPOev+JVWLvITblzfY0B2k+KxklGvEPi7JZPS19YHglDQdAV3Lh+dMY5u255DE/bAd6RnWTicDUItwxyNlnKjBg61iI7njY0OqfbWy41DORRQM8UMAXOBt66S6dNTCK1XokByrVeTQaqPeWOi4FBzUpbgS3whYzYz1IuyF1EmAN4g1BK+Rsf+jq9VU33avD33oQ6UVoptwJq2SRSvwoAgM37WcF5oEN5UyB+NIktsLikq1cdFeWDrITWX9+c+UiUAikAgkAonAAoQAX8KygN0Qhj8OhtPb/hptuQdiGG8xPSdswo6RxlhSO+aluT8pHUB3cp3zYK6QXdquOPo8k4FOiMTeMh1NVdv+5H5Xt2+ZjHaGRMBxU85Dm2Ad08EG/i3vRL0wz24x1nfMJisLD1YFii1kRYhtUH+6sS56tsPT347FTnLXshMa2klABbh6VrjstzNh36iPZnBohjemmdlGPhrtxh5nOTSYlHDxRW1gHXjggXYcuXmWHSkNX6Kmw4lkiNvub6Jao7LqTJMzrO10Z+ex8skWYx30moqoOY9hM5KCOEs1nf5hV7j6yDonBFfqqEQuNcNXw+NtmA/qlVPjuFK0n8VB0swotApm24/v1hHf8L76cyIl81Fv0TfgFv5YR3Y4OBJA5uxe81EecJmMxzwH3XcD+Sczdoaa+NiQat99993XEpC9QBCAobamFKxx8cs1use6oHa4W3LACGGfNSQbAm4yYNxzjH29hHtjMQTUw9wt2yV97ZHQ2qRkUxapY6l75HH5MrrIsZetSi24o1qBiGoy4IfQKsI2M7eYlz1gNKaNW/aG+US6VUGuL3UzNm5AsAxy/vnn63GUIEfIom0UqhXKqSQ+D18Ub76pNIY0ljpmIBFIBBKBRCARmCMIGPpZ6qeeeiqD0NjHWLIhOSxvp7SZHz5QZr7Pkoix0o2jLDScW/ewTySqYIKSjWerQrnW1aGO2ow0acieGVZfk30MMBtAGKXcFV6NeXO7Vwzuw7JEPEOrgw1vmUOOJHAq8I8Hu6zDkKs9IjHKDc4ZPzahmAMViQ1rKWyeximXbpam+ZbnNPWfBjalHR/NYMdwSJhxLEK7ffgJUVx895pdSCYipb/vfe97LVM0+BEjvqSxKkJcQIBCSclRYdyH88coZyyyqhUKWRlZjZGSgcX4ji06cXFysMGXqLkqjxGpIe2f8xMoJZJUB8rjiyXq6H4h3nM7WUkfAe3Npoxc2GAf8wSQIkBqBKg4ct3gqoMNr2SPI/goN4ob9hiQuipKodjw4T8btPj6dfq4uqrj7HgknhHSSNaBobvkYmUTPwMFoOZKuKfkEEKiEmITiiPq6Hsyah1YDeQqirNgBZYQFYxZVZPYuoq1JosYJhIkGwgR4WkIp5QDI+tWgAAcSJTWDAbiL79dcQjSU7aoRWTIXgduHfUyE7PffvuFdxESSCfWTR95665a85PhRCARSAQSgURgAUWAicUybNuZqmPjg1ccg9muWhRk/jfsvY7iZkxQ5+WEjMQ84tZ25KqJNMLDGKjjhbt/DIzGDwLl96+T/kycef/jJ9gbwzgb9WzuvGe1Z4kxhWyO32FonnTPXJMn4/taKTJnz50LN2xymnOZwsInOXMZ7eQtEUgEEoFEIBFIBGYbAXP37SKs0vi142cjZhgDbuxsF4eriG84EXfw+28MNxIgVcdMfztWm9eFLIazsc8++1jPcgjEvppSO0tdllxsLZs3F0zV5ZrjtyEt7lwq8RlIBBKBRCARSAQSgUQgEZj7CDizMH+ZHMbAMC8o4muPYgz+p38wfQwmFqws9uU79+PzEbbXF/QtaR177LF20tu6Y+PgPKiRxSxLYFbfbOyzG43zM9+29M2D2mYRiUAikAgkAolAIpAIJAILEQK5EjJyYzoz7UIDdwo5usT0t3ueB1IO+M6zu5YdlsKGo8wqYGVm7bXXHrkmmSERSAQSgUQgEUgEEoFEIBGYHwikEzIO6s6x+MiDC1uth/gongO+zpq7LMsyiHsGxqE4eh7rLS46sAfM1+L3339/ty6MTiNzJAKJQCKQCCQCiUAikAgkAvMBgfl2MH0+1DWLTAQSgUQgEUgEEoFEIBFIBBKBaSBQTiUMI9ZOUMfMo2n7YcxlfCKQCCQCiUAikAgkAolAIpAILGoIpBOyqLV41jcRSAQSgUQgEUgEEoFEIBGYzwikEzKfGyCLTwQSgUQgEUgEEoFEIBFIBBY1BNIJWdRaPOubCCQCiUAikAgkAolAIpAIzGcE/h+GysuGNfeqgwAAAABJRU5ErkJggg=="
    }
   },
   "cell_type": "markdown",
   "id": "e577062f",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "edb36121",
   "metadata": {},
   "source": [
    "### 1.计算梯度"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "78268522",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_gradient(x, y, w, b): \n",
    "    m = x.shape[0]    \n",
    "    dj_dw = 0\n",
    "    dj_db = 0\n",
    "    \n",
    "    for i in range(m):  \n",
    "        f_wb = w * x[i] + b \n",
    "        dj_dw_i = (f_wb - y[i]) * x[i] \n",
    "        dj_db_i = f_wb - y[i] \n",
    "        dj_db += dj_db_i\n",
    "        dj_dw += dj_dw_i \n",
    "    dj_dw = dj_dw / m \n",
    "    dj_db = dj_db / m \n",
    "        \n",
    "    return dj_dw, dj_db"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "d602c10a",
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "module 'matplotlib.pyplot' has no attribute 'gradients'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "Input \u001b[0;32mIn [51]\u001b[0m, in \u001b[0;36m<cell line: 1>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mplt\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mgradients\u001b[49m(x_train,y_train,compute_cost,compute_gradient)\n\u001b[1;32m      2\u001b[0m plt\u001b[38;5;241m.\u001b[39mshow()\n",
      "\u001b[0;31mAttributeError\u001b[0m: module 'matplotlib.pyplot' has no attribute 'gradients'"
     ]
    }
   ],
   "source": [
    "plt_gradients(x_train,y_train,compute_cost,compute_gradient)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66630002",
   "metadata": {},
   "source": [
    "### 2.梯度下降法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "807ecb61",
   "metadata": {},
   "outputs": [],
   "source": [
    "def gradient_descent(x, y, w_in, b_in, alpha, num_iters,\n",
    " cost_function, gradient_function): \n",
    " \n",
    "    w = copy.deepcopy(w_in) # avoid modifying global w_in\n",
    "    # An array to store cost J and w's at each iteration primarily for graphing later\n",
    "    J_history = []\n",
    "    p_history = []\n",
    "    b = b_in\n",
    "    w = w_in\n",
    "    \n",
    "    for i in range(num_iters):\n",
    "        # Calculate the gradient and update the parameters using gradient_function\n",
    "        dj_dw, dj_db = gradient_function(x, y, w, b)     \n",
    " \n",
    "        # Update Parameters using equation (3) above\n",
    "        b = b - alpha * dj_db                            \n",
    "        w = w - alpha * dj_dw                            \n",
    " \n",
    "        # Save cost J at each iteration\n",
    "        if i<100000:      # prevent resource exhaustion \n",
    "            J_history.append( cost_function(x, y, w, b))\n",
    "            p_history.append([w,b])\n",
    "        # Print cost every at intervals 10 times or as many iterations if < 10\n",
    "        if i% math.ceil(num_iters/10) == 0:\n",
    "            print(f\"Iteration {i:4}: Cost {J_history[-1]:0.2e} \",\n",
    "                  f\"dj_dw: {dj_dw: 0.3e}, dj_db: {dj_db: 0.3e}  \",\n",
    "                  f\"w: {w: 0.3e}, b:{b: 0.5e}\")\n",
    " \n",
    "    return w, b, J_history, p_history #return w and J,w history for graphing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "3dce6a99",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration    0: Cost 7.93e+04  dj_dw: -6.500e+02, dj_db: -4.000e+02   w:  6.500e+00, b: 4.00000e+00\n",
      "Iteration 1000: Cost 3.41e+00  dj_dw: -3.712e-01, dj_db:  6.007e-01   w:  1.949e+02, b: 1.08228e+02\n",
      "Iteration 2000: Cost 7.93e-01  dj_dw: -1.789e-01, dj_db:  2.895e-01   w:  1.975e+02, b: 1.03966e+02\n",
      "Iteration 3000: Cost 1.84e-01  dj_dw: -8.625e-02, dj_db:  1.396e-01   w:  1.988e+02, b: 1.01912e+02\n",
      "Iteration 4000: Cost 4.28e-02  dj_dw: -4.158e-02, dj_db:  6.727e-02   w:  1.994e+02, b: 1.00922e+02\n",
      "Iteration 5000: Cost 9.95e-03  dj_dw: -2.004e-02, dj_db:  3.243e-02   w:  1.997e+02, b: 1.00444e+02\n",
      "Iteration 6000: Cost 2.31e-03  dj_dw: -9.660e-03, dj_db:  1.563e-02   w:  1.999e+02, b: 1.00214e+02\n",
      "Iteration 7000: Cost 5.37e-04  dj_dw: -4.657e-03, dj_db:  7.535e-03   w:  1.999e+02, b: 1.00103e+02\n",
      "Iteration 8000: Cost 1.25e-04  dj_dw: -2.245e-03, dj_db:  3.632e-03   w:  2.000e+02, b: 1.00050e+02\n",
      "Iteration 9000: Cost 2.90e-05  dj_dw: -1.082e-03, dj_db:  1.751e-03   w:  2.000e+02, b: 1.00024e+02\n",
      "(w,b) found by gradient descent: (199.9929,100.0116)\n"
     ]
    }
   ],
   "source": [
    "# initialize parameters\n",
    "w_init = 0\n",
    "b_init = 0\n",
    "# some gradient descent settings\n",
    "iterations = 10000\n",
    "tmp_alpha = 1.0e-2\n",
    "# run gradient descent\n",
    "w_final, b_final, J_hist, p_hist = gradient_descent(x_train ,y_train, w_init, b_init, tmp_alpha,\n",
    "                                                    iterations, compute_cost, compute_gradient)\n",
    "print(f\"(w,b) found by gradient descent: ({w_final:8.4f},{b_final:8.4f})\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "cd0330f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot cost versus iteration  \n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, constrained_layout=True, figsize=(12,4))\n",
    "ax1.plot(J_hist[:100])\n",
    "ax2.plot(1000 + np.arange(len(J_hist[1000:])), J_hist[1000:])\n",
    "ax1.set_title(\"Cost vs. iteration(start)\");  ax2.set_title(\"Cost vs. iteration (end)\")\n",
    "ax1.set_ylabel('Cost')            ;  ax2.set_ylabel('Cost') \n",
    "ax1.set_xlabel('iteration step')  ;  ax2.set_xlabel('iteration step') \n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
